**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1998; 271 pp; Hardcover

MSC: Primary 05; 17; 22; Secondary 53

Print ISBN: 978-0-8218-0669-2

Product Code: TRANS2/181

Print ISBN: 978-0-8218-0669-2

Product Code: TRANS2/181

List Price: $126.00

Individual Member Price: $100.80

**Electronic ISBN: 978-1-4704-3392-5
Product Code: TRANS2/181.E**

List Price: $126.00

Individual Member Price: $100.80

# Kirillov’s Seminar on Representation Theory

Share this page *Edited by *
*G. I. Olshanski*

This book is a collection of selected papers written by students and active
participants of the A. A. Kirillov seminar on representation theory held at
Moscow University. The papers deal with various aspects of representation
theory for Lie algebras and Lie groups, and its relationship to algebraic
combinatorics, the theory of quantum groups and geometry.

This volume reflects current research interests of the leading representatives
of the Russian school of representation theory. Readers will find both a
variety of new results (for such quickly developing fields as infinite
dimensional algebras and quantum groups) and a new look at classical aspects of
the theory. Among the contributions, S. Kerov's paper—the first survey of
various topics in representation theory of the infinite symmetric groups,
classical orthogonal polynomials, Markov's moment problem, random measures, and
operator theory, unified around the concept of interlacing measures—describes
the unexpected relationships between distant domains of mathematics, and an
expository paper by Y. Neretin presents a new geometric approach to boundaries
and compactifications of reductive groups and symmetric spaces.

#### Table of Contents

# Table of Contents

## Kirillov's Seminar on Representation Theory

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Preface ix10
- Screenings and a universal Lie-de Rham cocycle 116
- Interlacing measures 3550
- Quasicommuting families of quantum Plücker coordinates 85100
- Factorial supersymmetric Schur functions and super Capelli identities 109124
- Yangians and Capelli identities 139154
- Hinges and the Study-Semple-Satake-Furstenberg-De Concini-Procesi-Oshima boundary 165180
- Multiplicities and Newton polytopes 231246
- Shifted Schur functions II. The binomial formula for characters of classical groups and its applications 245260
- Back Cover Back Cover1287

#### Readership

Graduate students, research mathematicians, and mathematical physicists interested in representation theory, infinite dimensional Lie algebras, quantum groups, and algebraic combinatorics.