**Advances in Soviet Mathematics**

1993;
216 pp;
Hardcover

MSC: Primary 17;

Print ISBN: 978-0-8218-4121-1

Product Code: ADVSOV/17

List Price: $135.00

AMS Member Price: $108.00

MAA Member Price: $121.50

**Electronic ISBN: 978-1-4704-4615-4
Product Code: ADVSOV/17.E**

List Price: $135.00

AMS Member Price: $108.00

MAA Member Price: $121.50

# Unconventional Lie Algebras

Share this page *Edited by *
*Dmitry Fuchs*

This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinite-dimensional, are defined over fields of finite characteristic, or are actually Lie superalgebras or quantum groups. Among the topics covered here are generalizations of the Virasoro algebra, representation theory of the Virasoro algebra and of Kac-Moody algebras, cohomology of Lie algebras of vector fields on the line, and Lie superalgebras of vector fields. The paper by Retakh and Shander contains a generalization of the Schwarz derivative to the noncommutative case.

#### Readership

Research mathematicians.

# Table of Contents

## Unconventional Lie Algebras

- Cover Cover11
- Title page v6
- Contents vii8
- Foreword ix10
- On the cohomology of the Lie superalgebra 𝑊(𝑚\vert𝑛) 112
- Integral intertwining operators and complex powers of differential and q-difference operators 1526
- Singular vectors over the Virasoro algebra and extended Verma modules 6576
- Main theorems of invariant theory for the Lie algebra 𝔰𝔩(2) in the case of a field of finite characteristic 7586
- On a duality for Z-graded algebras and modules 103114
- Projective structures and infinite-dimensional Lie algebras associated with a contact manifold 115126
- The Schwartz derivative for noncommutative differential algebras 139150
- Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra 155166
- Back Cover Back Cover1228