Last edited by Kajimi
Tuesday, July 28, 2020 | History

1 edition of Representation Theories and Algebraic Geometry found in the catalog.

# Representation Theories and Algebraic Geometry

## by Abraham Broer

Written in English

Subjects:
• Group theory,
• Mathematics,
• Geometry, algebraic,
• Topological Groups,
• Algebra

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.

Edition Notes

Classifications The Physical Object Other titles Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997 Statement edited by Abraham Broer, A. Daigneault, Gert Sabidussi Series Nato ASI Series, Series C: Mathematical and Physical Sciences -- 514, Nato ASI Series, Series C: Mathematical and Physical Sciences -- 514 Contributions Daigneault, A., Sabidussi, Gert LC Classifications QA174-183 Format [electronic resource] / Pagination 1 online resource (xxii, 443 p.) Number of Pages 443 Open Library OL27085342M ISBN 10 9048150752, 9401591318 ISBN 10 9789048150755, 9789401591317 OCLC/WorldCa 851367491

This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $$A_\infty$$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology.   Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of.

Research Papers and Books Most Recent Books and Papers. Linear Algebra and Optimization with Applications to Machine Learning (html) Differential Geometry and Lie Groups (html) Proofs, Computability, Undecidability, Complexity, and the Lambda Calculus. An Introduction (pdf) Aspects of Harmonic Analysis and Representation Theory (html). In mathematics, a Young tableau (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux) is a combinatorial object useful in representation theory and Schubert provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties. Young tableaux were introduced by Alfred Young, a mathematician at Cambridge.

The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to . The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory. Keywords D-Modules Hecke algebras Hodge modules Meromorphic function Representation theory algebra algebraic varieties perverse sheaves.

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### Representation Theories and Algebraic Geometry by Abraham Broer Download PDF EPUB FB2

The variety of topics covered at the conference reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebraic geometry, homological algebra and representation theory.

He was one of the founding fathers of homological ring theory and representation theory of artin : A. Martsinkovsky. Buy Representation Theories and Algebraic Geometry (Nato Science Series C:) on FREE SHIPPING on qualified orders Representation Theories and Algebraic Geometry (Nato Science Series C:): Gert Sabidussi, A.

Broer: : Books. 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 : This book contains seven lectures delivered at The Maurice Auslander Memorial Conference at Brandeis University in March The variety of topics covered at the conference reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebraic geometry, homological algebra and representation theory.

This volume contains the proceedings of two AMS Special Sessions Geometric and Algebraic Aspects of Representation Theory' and Quantum Groups and Noncommutative Algebraic Geometry' held October, at Tulane University, New Orleans, Louisiana, ed in this volume are original research and some survey articles on various aspects of representations.

Description The 12 lectures presented in Representation Theories and Algebraic Geometry book 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.

About this book Introduction 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 book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group by: Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups.

The variety of topics covered here reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebraic geometry, homological algebra and For any researcher into these areas, this book will be a valuable resource.

Or the classification can be: I am interested in a textbook of some kind of style (geometric, algebraic, concise, terse, detailed, etc).

The list goes very large because representation theory associated with many areas of mathematics. mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum ﬁeld theory.

Representation theory was born in in the work of the German mathematician F. Frobenius. This work was triggered by a letter to Frobenius by R. Size: KB. Description: 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. 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. “The material covered in this book is at the crossroads of algebraic geometry, symplectic geometry and ‘pure’ representation theory. This volume provides a self-contained overview of some of the recent advances in representation theory from a geometric standpoint.

As Akhil had great success with his question, I'm going to ask one in a similar vein. So representation theory has kind of an intimidating feel to it for an outsider. Say someone is familiar with algebraic geometry enough to care about things like G-bundles, and wants to talk about vector bundles.

One reason for their ubiquity is that they provide a useful way to organize data. Geometry is a powerful tool for extracting information from data sets, and a beautiful subject in its own right.

This book has three intended uses: as a classroom textbook, a reference work for researchers, and a research manuscript. ISBN: OCLC Number: Language Note: Includes one chapter (p. ) in French.

Notes: "Proceedings of the NATO Advanced Study Institute on Representation Theories and Algebraic Geometry, Montreal, Canada, July August 8, "--Title page verso. Representation theory resources and references Representation theory of finite groups n, Representation theoryRepresentation Theory Book is, Group representations in probability and statisticsSymmetry, Groups and Their ApplicationsRepresentations of finite groups ta, Notes on representations of.

The variety of topics covered here reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebraic geometry, homological algebra and representation theory.

For any researcher into these areas, this book will be a. Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.Summary: 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 book is based on lectures given at the Graduate Summer School of the Park City Mathematics Institute program “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.