Groups And Related Topics

Author : R. Gielerak,J. Lukierski,Z. Popowicz
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401128018

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Groups and Related Topics by R. Gielerak,J. Lukierski,Z. Popowicz Pdf

In the seventies and eighties, scientific collaboration between the Theory Section of the Physics Department of Leipzig University and the Institute of Theoretical Physics of the University of Wroolaw was established. This manifested itself, among other things, in the organization of regular, twice-yearly seminars located alternatively in Wrodaw and Leipzig. These Seminars in Theoretical Physics took place 27 times, the last during November 1990. In order to continue the traditions of German-Polish contacts in theoretical physics, we decided to start a new series of Seminars in Theoretical Physics and name them after the outstanding German theoretical physicist Max Born who was born in 1883 in Wrodaw. We hope that these seminars will continue to contribute to better scientific contacts and understanding between German and Polish theoretical physicists. The First Max Born Symposium was held in Wojnowice Castle, 20 km west of Wrodaw, 27 - 29 September 1991. Wojnowice Castle was built in the 16th century by the noble Boner family, in the Renaissance style, and has been recently adapted as a small conference center. The preferred subjects at the Symposium were Quantum Groups and Integrable Models. The Symposium was organized by Doctors R. Gielerak and Z. Popowicz under the scientific supervision of the undersigned.

Author : Alexander Hahn,Donald G. James,Zhexian Wan
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 42,5 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821850893

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Classical Groups and Related Topics by Alexander Hahn,Donald G. James,Zhexian Wan Pdf

During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.

Author : Anatoliĭ Moiseevich Vershik,Dmitriĭ Petrovich Zhelobenko
Publisher : CRC Press
Page : 576 pages
File Size : 53,6 Mb
Release : 1990
Category : Mathematics
ISBN : 2881246788

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Representation of Lie Groups and Related Topics by Anatoliĭ Moiseevich Vershik,Dmitriĭ Petrovich Zhelobenko Pdf

Eight papers provide mature readers with careful review of progress (through about 1983) toward the creation of a theory of the representations of infinite-dimensional Lie groups and algebras, and of some related topics. Recent developments in physics have provided major impetus for the development of such a theory, and the volume will be of special interest to mathematical physicists (quantum field theorists). Translated from the Russian edition of unstated date, and beautifully produced (which--at the price--it should be!). Book club price, $118. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Author : Benson Farb
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 47,8 Mb
Release : 2006-09-12
Category : Mathematics
ISBN : 9780821838389

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Problems on Mapping Class Groups and Related Topics by Benson Farb Pdf

The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.

Author : Aaron Wootton,S. Allen Broughton,Jennifer Paulhus
Publisher : American Mathematical Society
Page : 366 pages
File Size : 45,5 Mb
Release : 2022-02-03
Category : Mathematics
ISBN : 9781470460259

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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics by Aaron Wootton,S. Allen Broughton,Jennifer Paulhus Pdf

Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Author : Ali Baklouti,Hidenori Fujiwara,Jean Ludwig
Publisher : Springer Nature
Page : 620 pages
File Size : 51,6 Mb
Release : 2021-10-08
Category : Mathematics
ISBN : 9783030820442

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Representation Theory of Solvable Lie Groups and Related Topics by Ali Baklouti,Hidenori Fujiwara,Jean Ludwig Pdf

The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.

Author : S. Y. Husseini
Publisher : CRC Press
Page : 140 pages
File Size : 46,5 Mb
Release : 1969
Category : Mathematics
ISBN : 0677021607

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The Topology of Classical Groups and Related Topics by S. Y. Husseini Pdf

Author : Naihuan Jing,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 233 pages
File Size : 45,6 Mb
Release : 2018-08-21
Category : Algebra
ISBN : 9781470436964

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Representations of Lie Algebras, Quantum Groups and Related Topics by Naihuan Jing,Kailash C. Misra Pdf

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12–13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac–Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever–Novikov algebras, representations of quantum groups, and related topics.

Author : Ken-ichi Maruyama,John W. Rutter
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 44,7 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821826836

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Groups of Homotopy Self-Equivalences and Related Topics by Ken-ichi Maruyama,John W. Rutter Pdf

This volume offers the proceedings from the workshop held at the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises the articles relating current research on the group of homotopy self-equivalences, homotopy of function spaces, rational homotopy theory, classification of homotopy types, and equivariant homotopy theory. Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J.W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.

Author : Renzo A. Piccinini
Publisher : Springer
Page : 223 pages
File Size : 54,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540470915

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Groups of Self-Equivalences and Related Topics by Renzo A. Piccinini Pdf

Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

Author : Paul Baginski,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Vladimir Shpilrain
Publisher : Walter de Gruyter GmbH & Co KG
Page : 329 pages
File Size : 43,6 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783110637090

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Elementary Theory of Groups and Group Rings, and Related Topics by Paul Baginski,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Vladimir Shpilrain Pdf

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Kalyan Chakraborty,Azizul Hoque,Prem Prakash Pandey
Publisher : Springer Nature
Page : 182 pages
File Size : 53,6 Mb
Release : 2020-01-17
Category : Mathematics
ISBN : 9789811515149

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Class Groups of Number Fields and Related Topics by Kalyan Chakraborty,Azizul Hoque,Prem Prakash Pandey Pdf

This book gathers original research papers and survey articles presented at the “International Conference on Class Groups of Number Fields and Related Topics,” held at Harish-Chandra Research Institute, Allahabad, India, on September 4–7, 2017. It discusses the fundamental research problems that arise in the study of class groups of number fields and introduces new techniques and tools to study these problems. Topics in this book include class groups and class numbers of number fields, units, the Kummer–Vandiver conjecture, class number one problem, Diophantine equations, Thue equations, continued fractions, Euclidean number fields, heights, rational torsion points on elliptic curves, cyclotomic numbers, Jacobi sums, and Dedekind zeta values. This book is a valuable resource for undergraduate and graduate students of mathematics as well as researchers interested in class groups of number fields and their connections to other branches of mathematics. New researchers to the field will also benefit immensely from the diverse problems discussed. All the contributing authors are leading academicians, scientists, researchers, and scholars.

Author : Rüdiger Göbel,Paul Hill,Wolfgang Liebert
Publisher : American Mathematical Soc.
Page : 450 pages
File Size : 49,8 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851784

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Abelian Group Theory and Related Topics by Rüdiger Göbel,Paul Hill,Wolfgang Liebert Pdf

This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together forty-seven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.

Author : P.J. Hilton
Publisher : Springer
Page : 178 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540372684

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Localization in Group Theory and Homotopy Theory and Related Topics by P.J. Hilton Pdf

Author : Geoff Smith,Olga Tabachnikova
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447104612

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Topics in Group Theory by Geoff Smith,Olga Tabachnikova Pdf

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.