Download Full eBooks in PDF
Properly Stratified Endomorphism Algebras Microform Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Properly Stratified Endomorphism Algebras Microform book. This book definitely worth reading, it is an incredibly well-written.
Author : Xueqing Chen
Publisher : National Library of Canada = Bibliothèque nationale du Canada
Page : 186 pages
File Size : 50,7 Mb
Release : 2002
Category : Algebra
ISBN : 0612719324
Author : Edward Cline,Brian Parshall,Leonard Scott,Leonard L. Scott
Publisher : American Mathematical Soc.
Page : 119 pages
File Size : 47,8 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804889
Suppose that $R$ is a finite dimensional algebra and $T$ is a right $R$-module. Let $A = \mathrm{ End}_R(T)$ be the endomorphism algebra of $T$. This memoir presents a systematic study of the relationships between the representation theories of $R$ and $A$, especially those involving actual or potential structures on $A$ which ''stratify'' its homological algebra. The original motivation comes from the theory of Schur algebras and the symmetric group, Lie theory, and the representation theory of finite dimensional algebras and finite groups. The book synthesizes common features of many of the above areas, and presents a number of new directions. Included are an abstract ''Specht/Weyl module'' correspondence, a new theory of stratified algebras, and a deformation theory for them. The approach reconceptualizes most of the modular representation theory of symmetric groups involving Specht modules and places that theory in a broader context. Finally, the authors formulate some conjectures involving the theory of stratified algebras and finite Coexeter groups, aiming toward understanding the modular representation theory of finite groups of Lie type in all characteristics.
Author : Anonim
Publisher : Unknown
Page : 644 pages
File Size : 51,5 Mb
Release : 2003
Category : Dissertations, Academic
ISBN : STANFORD:36105112755694
Author : N.P. Landsman,Markus Pflaum,Martin Schlichenmaier
Publisher : Birkhäuser
Page : 360 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883641
This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.
Author : Anonim
Publisher : Unknown
Page : 776 pages
File Size : 46,5 Mb
Release : 2002
Category : Dissertation abstracts
ISBN : UOM:39015086908137
Author : Eric Friedlander,Daniel R. Grayson
Publisher : Springer Science & Business Media
Page : 1148 pages
File Size : 51,8 Mb
Release : 2005-07-18
Category : Mathematics
ISBN : 9783540230199
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Author : Jianxun Hu,Changzheng Li,Leonardo C. Mihalcea
Publisher : Springer Nature
Page : 367 pages
File Size : 41,7 Mb
Release : 2020-10-24
Category : Mathematics
ISBN : 9789811574511
This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.
Author : D. Benson
Publisher : Springer
Page : 246 pages
File Size : 51,5 Mb
Release : 2008-07-22
Category : Mathematics
ISBN : 9783540389408
This reprint of a 1983 Yale graduate course makes results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. Following a review of background material, the lectures examine three closely connected topics in modular representation theory of finite groups: representations rings; almost split sequences and the Auslander-Reiten quiver; and complexity and cohomology varieties, which has become a major theme in representation theory.
Author : Daniel Grieser,Stefan Teufel,Andras Vasy
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 42,5 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9783034804660
Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.
Author : Ulrich Görtz,Torsten Wedhorn
Publisher : Springer Nature
Page : 626 pages
File Size : 55,8 Mb
Release : 2020-07-27
Category : Mathematics
ISBN : 9783658307332
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Author : James A. Green
Publisher : Springer
Page : 124 pages
File Size : 43,6 Mb
Release : 2008-07-15
Category : Mathematics
ISBN : 9783540383796
The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.
Author : Giorgio Patrizio,Zbigniew Błocki,Francois Berteloot,Jean Pierre Demailly
Publisher : Springer
Page : 328 pages
File Size : 54,9 Mb
Release : 2013-05-16
Category : Mathematics
ISBN : 9783642364211
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex Monge-Ampére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research.
Author : Marcos M. Alexandrino,Renato G. Bettiol
Publisher : Springer
Page : 213 pages
File Size : 41,7 Mb
Release : 2015-05-22
Category : Mathematics
ISBN : 9783319166131
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Author : Markus Banagl
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 53,9 Mb
Release : 2007-02-16
Category : Mathematics
ISBN : 9783540385875
The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. Highlights include complete and detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures.
Author : Sergio Ferrara,Rita Fioresi,V.S. Varadarajan
Publisher : Springer
Page : 279 pages
File Size : 51,9 Mb
Release : 2011-08-27
Category : Mathematics
ISBN : 9783642217449
Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.