Representation Theories And Algebraic Geometry PDF Download
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Author | : A. Broer |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401591318 |
Download Representation Theories and Algebraic Geometry Book in PDF, ePub and Kindle
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules.
Author | : A. Martsinkovsky |
Publisher | : Cambridge University Press |
Total Pages | : 148 |
Release | : 1997-05-15 |
Genre | : Mathematics |
ISBN | : 9780521577892 |
Download Representation Theory and Algebraic Geometry Book in PDF, ePub and Kindle
For any researcher working in representation theory, algebraic or arithmetic geometry.
Author | : Michel Brion |
Publisher | : Springer Science & Business Media |
Total Pages | : 259 |
Release | : 2007-08-08 |
Genre | : Mathematics |
ISBN | : 0817644059 |
Download Frobenius Splitting Methods in Geometry and Representation Theory Book in PDF, ePub and Kindle
Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.
Author | : Neil Chriss |
Publisher | : Birkhauser |
Total Pages | : 495 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0817637923 |
Download Representation Theory and Complex Geometry Book in PDF, ePub and Kindle
This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.
Author | : A. Rosenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 333 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401584303 |
Download Noncommutative Algebraic Geometry and Representations of Quantized Algebras Book in PDF, ePub and Kindle
This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern mathematical physics. The dasses of rings we consider indude as special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra ofthe Lie algebra sl(2) , coordinate algebra of the quantum group SL(2), the twisted SL(2) of Woronowicz, so called dispin algebra and many others.
Author | : |
Publisher | : Elsevier |
Total Pages | : 357 |
Release | : 1996-09-27 |
Genre | : Mathematics |
ISBN | : 0080526950 |
Download Algebraic and Analytic Methods in Representation Theory Book in PDF, ePub and Kindle
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Author | : Francois Bergeron |
Publisher | : CRC Press |
Total Pages | : 227 |
Release | : 2009-07-06 |
Genre | : Mathematics |
ISBN | : 1439865078 |
Download Algebraic Combinatorics and Coinvariant Spaces Book in PDF, ePub and Kindle
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and
Author | : Ryoshi Hotta |
Publisher | : Springer Science & Business Media |
Total Pages | : 408 |
Release | : 2007-11-07 |
Genre | : Mathematics |
ISBN | : 081764363X |
Download D-Modules, Perverse Sheaves, and Representation Theory Book in PDF, ePub and Kindle
D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
Author | : Pavel I. Etingof |
Publisher | : American Mathematical Soc. |
Total Pages | : 240 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821853511 |
Download Introduction to Representation Theory Book in PDF, ePub and Kindle
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author | : Mark Green |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 2013-11-05 |
Genre | : Mathematics |
ISBN | : 1470410125 |
Download Hodge Theory, Complex Geometry, and Representation Theory Book in PDF, ePub and Kindle
This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another--an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of automorphic cohomology. For the latter topic, of particular importance is the recent work of Carayol that potentially introduces a new perspective in arithmetic automorphic representation theory. The present work gives a treatment of Carayol's work, and some extensions of it, set in a general complex geometric framework. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms and selected other topics from the recent literature. A co-publication of the AMS and CBMS.