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Author : S. Ramanan,C. Musili,N. Mohan Kumar
Publisher : Unknown
Page : 562 pages
File Size : 49,6 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015029454801
Author : Rajat Tandon
Publisher : Springer
Page : 411 pages
File Size : 54,9 Mb
Release : 2005-05-01
Category : Mathematics
ISBN : 9789386279231
Contributed articles presented at the Conference.
Author : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 47,9 Mb
Release : 2003
Category : Linear algebraic groups
ISBN : 9780821843772
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Author : Richard S. Elman,Murray M. Schacher,V. S. Varadarajan
Publisher : American Mathematical Soc.
Page : 200 pages
File Size : 47,8 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821851616
This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics. Linear algebraic groups and their representations interface with a broad range of areas through diverse avenues--with algebraic geometry through moduli spaces, with classical invariant theory through group actions on polynomial rings, with enumerative and combinatorial geometry through flag manifolds, and with theoretical physics through Kac-Moody algebras and quantum groups. Collected here are both surveys and original contributions by eminent specialists, reflecting current developments in the subject. This book is one of the few available sources that brings together such a wide variety of themes under a single unifying perspective.
Author : Gus Lehrer,Alan L. Carey
Publisher : Cambridge University Press
Page : 396 pages
File Size : 55,6 Mb
Release : 1997-01-23
Category : Mathematics
ISBN : 0521585325
This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometic, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz connections between representation theory and the structure and geometry of algebraic groups. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.
Author : Jörg Feldvoss,Lauren Grimley,Drew Lewis,Andrei Pavelescu,Cornelius Pillen
Publisher : Springer
Page : 322 pages
File Size : 40,5 Mb
Release : 2019-02-27
Category : Mathematics
ISBN : 9783030115210
This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing research in algebraic geometry, ring theory, group theory, and associative algebras. Topics include algebraic groups, combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry. Since 1988, SRAC has been an important event for the algebra research community in the Gulf Coast Region and surrounding states, building a strong network of algebraists that fosters collaboration in research and education. This volume is suitable for graduate students and researchers interested in recent findings in computational and theoretical methods in algebra and representation theory.
Author : Louis J. Billera
Publisher : Cambridge University Press
Page : 360 pages
File Size : 54,8 Mb
Release : 1999-09-28
Category : Mathematics
ISBN : 0521770874
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
Author : Naihuan Jing
Publisher : World Scientific
Page : 172 pages
File Size : 47,6 Mb
Release : 2003-06-27
Category : Science
ISBN : 9789814485500
Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades. Its recent developments have become more interactive with not only its traditional field representation theory but also algebraic geometry, harmonic analysis and mathematical physics. This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields. Contents:Uno's Conjecture on Representation Types of Hecke Algebras (S Ariki)Quiver Varieties, Afine Lie Algebras, Algebras of BPS States, and Semicanonical Basis (I Frenkel et al.)Divided Differences of Type D and the Grassmannian of Complex Structures (H Duan & P Pragacz)Tableaux Statistics For Two Part Macdonald Polynomials (L Lapointe & J Morse)A Crystal to Rigged Configuration Bijection for Nonexceptional Affine Algebras (M Okado et al.)Littlewood's Formulas for Characters of Orthogonal and Symplectic Groups (A Lascoux)A q-Analog of Schur's Q-Functions (G Tudose & M Zabrocki) Readership: Researchers and graduate students in algebraic combinatorics, representation theory and quantum groups. Keywords:Algebras;Representation Theory;Polynomid;Varities;Q-Functions
Author : B. Hartley,G.M. Seitz,A.V. Borovik,R.M. Bryant
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401103299
This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni
Author : Lex E. Renner
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 50,6 Mb
Release : 2005-03-11
Category : Mathematics
ISBN : 3540242414
The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.
Author : S.D. Chatterji
Publisher : Birkhäuser
Page : 1669 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890786
Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)
Author : Roe Goodman,Nolan R. Wallach
Publisher : Cambridge University Press
Page : 708 pages
File Size : 49,5 Mb
Release : 2000-01-13
Category : Mathematics
ISBN : 0521663482
More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
Author : International Conference on Algebraic Groups and Arithmetic,Tata Institute of Fundamental Research
Publisher : Unknown
Page : 570 pages
File Size : 50,5 Mb
Release : 2004
Category : Electronic
ISBN : OCLC:254999557
Author : Michael John Collins,Brian Parshall,Leonard L. Scott
Publisher : Walter de Gruyter
Page : 284 pages
File Size : 41,9 Mb
Release : 2001
Category : Mathematics
ISBN : 3110163675
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 : V. B. Mehta
Publisher : Alpha Science International, Limited
Page : 564 pages
File Size : 47,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015079292218
The area of algebraic groups and homogeneous spaces is one in which major advances have been made in recent decades. This was the theme of the (twelfth) International Colloquium organized by the Tata Institute of Fundamental Research in January 2004, and this volume constitutes the proceedings of that meeting. This volume contains articles by several leading experts in central topics in the area, including representation theory, flag varieties, Schubert varieties, vector bundles, loop groups and Kac-Moody Lie algebras, Galois cohomology of algebraic groups, and Tannakian categories. In addition to the original papers in these areas, the volume includes a survey on representation theory in characteristic $p$ by H. Andersen and an article by T. A. Springer on Armand Borel's work in algebraic groups and Lie groups.