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Representation Theory
 
Edited by: Zongzhu Lin Kansas State University, Manhattan, KS
Jianpan Wang East China Normal University, Shanghai, People’s Republic of China
Representation Theory
eBook ISBN:  978-0-8218-8157-6
Product Code:  CONM/478.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Representation Theory
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Representation Theory
Edited by: Zongzhu Lin Kansas State University, Manhattan, KS
Jianpan Wang East China Normal University, Shanghai, People’s Republic of China
eBook ISBN:  978-0-8218-8157-6
Product Code:  CONM/478.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4782009; 295 pp
    MSC: Primary 16; 17; 20;

    Articles in this volume cover topics related to representation theory of various algebraic objects such as algebraic groups, quantum groups, Lie algebras, (finite- and infinite-dimensional) finite groups, and quivers. Collected in one book, these articles show deep relations between all these aspects of Representation Theory, as well as the diversity of algebraic, geometric, topological, and categorical techniques used in studying representations.

    Readership

    Graduate students and research mathematicians interested in representation theory.

  • Table of Contents
     
     
    • Articles
    • Henning Haahr Andersen — Sum formulas and Ext-groups [ MR 2513262 ]
    • Stephen Doty — Schur-Weyl duality in positive characteristic [ MR 2513263 ]
    • Andrew Francis and Weiqiang Wang — The centers of Iwahori-Hecke algebras are filtered [ MR 2513264 ]
    • On Kostant’s theorem for Lie algebra cohomology [ MR 2513265 ]
    • Xuhua He — $G$-stable pieces and partial flag varieties [ MR 2513266 ]
    • Lizhen Ji — Steinberg representations and duality properties of arithmetic groups, mapping class groups, and outer automorphism groups of free groups [ MR 2513267 ]
    • Shrawan Kumar, George Lusztig and Dipendra Prasad — Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups [ MR 2513268 ]
    • Gongxiang Liu — Classification of finite-dimensional basic Hopf algebras according to their representation type [ MR 2513269 ]
    • G. Lusztig — Twelve bridges from a reductive group to its Langlands dual [ MR 2513270 ]
    • Brian J. Parshall and Leonard L. Scott — Some new highest weight categories [ MR 2513271 ]
    • Iulia Pop and Alexander Stolin — Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation [ MR 2513272 ]
    • Claus Michael Ringel — The relevance and the ubiquity of Prüfer modules [ MR 2513273 ]
    • Alistair Savage — Quivers and the Euclidean group [ MR 2513274 ]
    • Shikui Shang and Yun Gao — $\mathfrak {eu}_2$-Lie admissible algebras and Steinberg unitary Lie algebras [ MR 2513275 ]
    • Toshiaki Shoji — Lusztig’s conjecture for finite classical groups with even characteristic [ MR 2513276 ]
    • Yucai Su — A survey on quasifinite representations of Weyl type Lie algebras [ MR 2513277 ]
    • Nanhua Xi — Maximal and primitive elements in baby Verma modules for type $B_2$ [ MR 2513278 ]
    • Yu-Feng Yao and Bin Shu — Irreducible representations of the special algebras in prime characteristic [ MR 2513279 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4782009; 295 pp
MSC: Primary 16; 17; 20;

Articles in this volume cover topics related to representation theory of various algebraic objects such as algebraic groups, quantum groups, Lie algebras, (finite- and infinite-dimensional) finite groups, and quivers. Collected in one book, these articles show deep relations between all these aspects of Representation Theory, as well as the diversity of algebraic, geometric, topological, and categorical techniques used in studying representations.

Readership

Graduate students and research mathematicians interested in representation theory.

  • Articles
  • Henning Haahr Andersen — Sum formulas and Ext-groups [ MR 2513262 ]
  • Stephen Doty — Schur-Weyl duality in positive characteristic [ MR 2513263 ]
  • Andrew Francis and Weiqiang Wang — The centers of Iwahori-Hecke algebras are filtered [ MR 2513264 ]
  • On Kostant’s theorem for Lie algebra cohomology [ MR 2513265 ]
  • Xuhua He — $G$-stable pieces and partial flag varieties [ MR 2513266 ]
  • Lizhen Ji — Steinberg representations and duality properties of arithmetic groups, mapping class groups, and outer automorphism groups of free groups [ MR 2513267 ]
  • Shrawan Kumar, George Lusztig and Dipendra Prasad — Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups [ MR 2513268 ]
  • Gongxiang Liu — Classification of finite-dimensional basic Hopf algebras according to their representation type [ MR 2513269 ]
  • G. Lusztig — Twelve bridges from a reductive group to its Langlands dual [ MR 2513270 ]
  • Brian J. Parshall and Leonard L. Scott — Some new highest weight categories [ MR 2513271 ]
  • Iulia Pop and Alexander Stolin — Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation [ MR 2513272 ]
  • Claus Michael Ringel — The relevance and the ubiquity of Prüfer modules [ MR 2513273 ]
  • Alistair Savage — Quivers and the Euclidean group [ MR 2513274 ]
  • Shikui Shang and Yun Gao — $\mathfrak {eu}_2$-Lie admissible algebras and Steinberg unitary Lie algebras [ MR 2513275 ]
  • Toshiaki Shoji — Lusztig’s conjecture for finite classical groups with even characteristic [ MR 2513276 ]
  • Yucai Su — A survey on quasifinite representations of Weyl type Lie algebras [ MR 2513277 ]
  • Nanhua Xi — Maximal and primitive elements in baby Verma modules for type $B_2$ [ MR 2513278 ]
  • Yu-Feng Yao and Bin Shu — Irreducible representations of the special algebras in prime characteristic [ MR 2513279 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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