**Proceedings of Symposia in Pure Mathematics**

Volume: 86;
2012;
310 pp;
Hardcover

MSC: Primary 17; 20;

Print ISBN: 978-0-8218-6917-8

Product Code: PSPUM/86

List Price: $80.00

Individual Member Price: $64.00

**Electronic ISBN: 978-0-8218-9392-0
Product Code: PSPUM/86.E**

List Price: $80.00

Individual Member Price: $64.00

# Recent Developments in Lie Algebras, Groups and Representation Theory

Share this page *Edited by *
*Kailash C. Misra; Daniel K. Nakano; Brian J. Parshall*

This book contains the proceedings of the 2009–2011 Southeastern
Lie Theory Workshop Series, held October 9–11, 2009 at North Carolina
State University, May 22–24, 2010, at the University of Georgia, and
June 1–4, 2011 at the University of Virginia.

Some of the articles, written by experts in the field, survey
recent developments while others include new results in Lie algebras,
quantum groups, finite groups, and algebraic groups.

#### Table of Contents

# Table of Contents

## Recent Developments in Lie Algebras, Groups and Representation Theory

- Contents vii8 free
- Preface ix10 free
- Perverse coherent sheaves on the nilpotent cone in good characteristic 114 free
- On the Vanishing Ranges for the Cohomology of Finite Groups of Lie type II 2538
- Tilting modules for the current algebra of a simple Lie algebra 7588
- Endotrivial modules 99112
- Super duality for general linear Lie superalgebras and applications 113126
- Structures and representations of a.ne q-Schur algebras 137150
- Multiplicative bases for the centres of the group algebra and Iwahori-Hecke algebra of the symmetric group 159172
- Moonshine paths and a VOA existence proof of the Monster 165178
- Characteristic polynomials and fixed spaces of semisimple elements 173186
- “Frobenius twists” in the representation theory of the symmetric group 187200
- The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra osp(m|2n) 201214
- An approach towards the Koll´ar-Peskine problem via the Instanton Moduli Space 217230
- On the representations of disconnected reductive groups over F[sub(q)] 227240
- Forced gradings in integral quasi-hereditary algebras with applications to quantum groups 247260
- A semisimple series for q-Weyl and q-Specht modules 277290

#### Readership

Graduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.