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Recent Developments in Representation Theory
 
Edited by: Alex Martsinkovsky Northeastern University, Boston, MA
Gordana Todorov Northeastern University, Boston, MA
Kiyoshi Igusa Brandeis University, Waltham, MA
Recent Developments in Representation Theory
Softcover ISBN:  978-1-4704-1955-4
Product Code:  CONM/673
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-3530-1
Product Code:  CONM/673.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1955-4
eBook: ISBN:  978-1-4704-3530-1
Product Code:  CONM/673.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Recent Developments in Representation Theory
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Recent Developments in Representation Theory
Edited by: Alex Martsinkovsky Northeastern University, Boston, MA
Gordana Todorov Northeastern University, Boston, MA
Kiyoshi Igusa Brandeis University, Waltham, MA
Softcover ISBN:  978-1-4704-1955-4
Product Code:  CONM/673
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-3530-1
Product Code:  CONM/673.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1955-4
eBook ISBN:  978-1-4704-3530-1
Product Code:  CONM/673.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6732016; 249 pp
    MSC: Primary 16; 14

    This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA.

    Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.

    Readership

    Graduate students and research mathematicians interested in combinatorial aspects of representation theory of algebra.

  • Table of Contents
     
     
    • Articles
    • V. V. Bavula — Orders in Artinian rings, Goldie’s Theorem and the largest left quotient ring of a ring
    • Ellen E. Kirkman — Invariant theory of Artin-Schelter regular algebras: a survey
    • Claus Michael Ringel — The Catalan combinatorics of the hereditary artin algebras
    • Evgeny Smirnov — Grassmannians, flag varieties, and Gelfand–Zetlin polytopes
    • Luise Unger — On the combinatorics of the set of tilting modules
  • 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: 6732016; 249 pp
MSC: Primary 16; 14

This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA.

Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.

Readership

Graduate students and research mathematicians interested in combinatorial aspects of representation theory of algebra.

  • Articles
  • V. V. Bavula — Orders in Artinian rings, Goldie’s Theorem and the largest left quotient ring of a ring
  • Ellen E. Kirkman — Invariant theory of Artin-Schelter regular algebras: a survey
  • Claus Michael Ringel — The Catalan combinatorics of the hereditary artin algebras
  • Evgeny Smirnov — Grassmannians, flag varieties, and Gelfand–Zetlin polytopes
  • Luise Unger — On the combinatorics of the set of tilting modules
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
Please select which format for which you are requesting permissions.