[PDF] Categorical Combinatorial And Geometric Representation Theory And Related Topics eBook

Author : Pramod N. Achar
Publisher : American Mathematical Society
Page : 536 pages
File Size : 36,75 MB
Release : 2024-07-11
Category : Mathematics
ISBN : 1470471175

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This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015–21. During this time five workshops on different aspects of Lie theory were held at North Carolina State University in October 2015; University of Virginia in May 2016; University of Georgia in June 2018; Louisiana State University in May 2019; and College of Charleston in October 2021. Some of the articles by experts in the field describe recent developments while others include new results in categorical, combinatorial, and geometric representation theory of algebraic groups, Lie (super) algebras, and quantum groups, as well as on some related topics. The survey articles will be beneficial to junior researchers. This book will be useful to any researcher working in Lie theory and related areas.

Author : Seok-Jin Kang
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 31,34 MB
Release : 2003
Category : Mathematics
ISBN : 0821832123

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This volume presents the proceedings of the international conference on Combinatorial and Geometric Representation Theory. In the field of representation theory, a wide variety of mathematical ideas are providing new insights, giving powerful methods for understanding the theory, and presenting various applications to other branches of mathematics. Over the past two decades, there have been remarkable developments. This book explains the strong connections between combinatorics, geometry, and representation theory. It is suitable for graduate students and researchers interested in representation theory.

Author : Nicolás Andruskiewitsch
Publisher : American Mathematical Soc.
Page : 359 pages
File Size : 25,71 MB
Release : 2021-07-06
Category : Education
ISBN : 1470456249

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The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras. Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.

Author : Bruno Benedetti
Publisher : Springer
Page : 222 pages
File Size : 44,3 MB
Release : 2015-10-31
Category : Mathematics
ISBN : 3319201557

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Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Author : A. Martsinkovsky
Publisher : Cambridge University Press
Page : 148 pages
File Size : 45,54 MB
Release : 1997-05-15
Category : Mathematics
ISBN : 9780521577892

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For any researcher working in representation theory, algebraic or arithmetic geometry.

Author : Jan Šťovíček
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 42,33 MB
Release : 2020-11-13
Category : Education
ISBN : 147045131X

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This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.

Author : Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 21,53 MB
Release : 2016-06-28
Category : Mathematics
ISBN : 1470418444

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This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

Author : Kiyoshi Igusa
Publisher : American Mathematical Soc.
Page : 241 pages
File Size : 27,26 MB
Release : 2021-05-17
Category : Education
ISBN : 1470452308

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This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called “geodesic ghor algebras”, a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a t t-structure, and an introduction to methods of constructive category theory.