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Categorical, Combinatorial and Geometric Representation Theory and Related Topics
 
Edited by: Pramod N. Achar Louisiana State University, Baton Rouge, LA
Kailash C. Misra North Carolina State University, Raleigh, NC
Daniel K. Nakano University of Georgia, Athens, GA
Softcover ISBN:  978-1-4704-7117-0
Product Code:  PSPUM/108
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
eBook ISBN:  978-1-4704-7729-5
Product Code:  PSPUM/108.E
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
Softcover ISBN:  978-1-4704-7117-0
eBook: ISBN:  978-1-4704-7729-5
Product Code:  PSPUM/108.B
List Price: $276.00 $207.50
MAA Member Price: $248.40 $186.75
AMS Member Price: $220.80 $166.00
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
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Categorical, Combinatorial and Geometric Representation Theory and Related Topics
Edited by: Pramod N. Achar Louisiana State University, Baton Rouge, LA
Kailash C. Misra North Carolina State University, Raleigh, NC
Daniel K. Nakano University of Georgia, Athens, GA
Softcover ISBN:  978-1-4704-7117-0
Product Code:  PSPUM/108
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
eBook ISBN:  978-1-4704-7729-5
Product Code:  PSPUM/108.E
List Price: $137.00
MAA Member Price: $123.30
AMS Member Price: $109.60
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
Softcover ISBN:  978-1-4704-7117-0
eBook ISBN:  978-1-4704-7729-5
Product Code:  PSPUM/108.B
List Price: $276.00 $207.50
MAA Member Price: $248.40 $186.75
AMS Member Price: $220.80 $166.00
Not yet published - Preorder Now!
Expected availability date: August 21, 2024
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 1082024; 523 pp
    MSC: Primary 17; 18; 20

    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.

    Readership

    Graduate students and researchers interested in algebraic groups, Lie (super)algebras, quantum groups, and related areas.

  • Table of Contents
     
     
    • Articles
    • Jonathan D. Axtell and Kyu-Hwan Lee — Quantum generalized Kac–Moody algebras via Hall algebras of complexes
    • Christopher P. Bendel — Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type
    • Jon F. Carlson — Idempotent modules, locus of compactness and local supports
    • Tsao-Hsien Chen and David Nadler — Real and symmetric quasi-maps
    • Christopher M. Drupieski and Jonathan R. Kujawa — Support varieties for Lie superalgebras in characteristic 2
    • Jie Du, Haixia Gu and Zhongguo Zhou — Canonical bases for the modified quantum $\mathfrak {gl}_{m|n}$
    • Jie Du, Brian Parshall and Leonard Scott — An exact category approach to Hecke endomorphism algebras
    • Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez and Pablo Zadunaisky — On two constructions of Gelfand-Tsetlin modules with arbitrary characters
    • Jiuzu Hong and Shrawan Kumar — Lie algebra cohomology of the positive part of twisted affine Lie algebras
    • Zongzhu Lin and Daniel K. Nakano — Realizing rings of regular functions via the cohomology of quantum groups
    • Ming Lu and Weiqiang Wang — $\imath $Hall algebras and $\imath $quantum groups
    • G. Lusztig — Unipotent blocks and weighted affine Weyl groups
    • George Lusztig and Zhiwei Yun — From conjugacy classes in the Weyl group to representations
    • Toshiki Nakashima — Geometric crystal on unipotent variety
    • Daniel Orr and Mark Shimozono — Difference operators for wreath Macdonald polynomials
    • Felipe Albino dos Santos, Vyacheslav Futorny and Kaiming Zhao — Universal central extensions of Krichever-Novikov algebras and orthogonal polynomials
    • Peter Tingley — Notes on Fock space
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 1082024; 523 pp
MSC: Primary 17; 18; 20

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.

Readership

Graduate students and researchers interested in algebraic groups, Lie (super)algebras, quantum groups, and related areas.

  • Articles
  • Jonathan D. Axtell and Kyu-Hwan Lee — Quantum generalized Kac–Moody algebras via Hall algebras of complexes
  • Christopher P. Bendel — Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type
  • Jon F. Carlson — Idempotent modules, locus of compactness and local supports
  • Tsao-Hsien Chen and David Nadler — Real and symmetric quasi-maps
  • Christopher M. Drupieski and Jonathan R. Kujawa — Support varieties for Lie superalgebras in characteristic 2
  • Jie Du, Haixia Gu and Zhongguo Zhou — Canonical bases for the modified quantum $\mathfrak {gl}_{m|n}$
  • Jie Du, Brian Parshall and Leonard Scott — An exact category approach to Hecke endomorphism algebras
  • Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez and Pablo Zadunaisky — On two constructions of Gelfand-Tsetlin modules with arbitrary characters
  • Jiuzu Hong and Shrawan Kumar — Lie algebra cohomology of the positive part of twisted affine Lie algebras
  • Zongzhu Lin and Daniel K. Nakano — Realizing rings of regular functions via the cohomology of quantum groups
  • Ming Lu and Weiqiang Wang — $\imath $Hall algebras and $\imath $quantum groups
  • G. Lusztig — Unipotent blocks and weighted affine Weyl groups
  • George Lusztig and Zhiwei Yun — From conjugacy classes in the Weyl group to representations
  • Toshiki Nakashima — Geometric crystal on unipotent variety
  • Daniel Orr and Mark Shimozono — Difference operators for wreath Macdonald polynomials
  • Felipe Albino dos Santos, Vyacheslav Futorny and Kaiming Zhao — Universal central extensions of Krichever-Novikov algebras and orthogonal polynomials
  • Peter Tingley — Notes on Fock space
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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