Unconventional Lie Algebras ( Advances in Soviet Mathematics )

Publication series ： Advances in Soviet Mathematics

Author： Dmitry Fuchs  

Publisher： American Mathematical Society‎

Publication year： 2018

E-ISBN: 9781470446154

P-ISBN(Paperback): 9780821841211

Subject： O1 Mathematics

Keyword： 数学

Language： ENG

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Unconventional Lie Algebras

Description

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.

Chapter

Cover

Title page

Contents

Foreword

On the cohomology of the Lie superalgebra 𝑊(𝑚\vert𝑛)

Integral intertwining operators and complex powers of differential and q-difference operators

Singular vectors over the Virasoro algebra and extended Verma modules

Main theorems of invariant theory for the Lie algebra 𝔰𝔩(2) in the case of a field of finite characteristic

On a duality for Z-graded algebras and modules

Projective structures and infinite-dimensional Lie algebras associated with a contact manifold

The Schwartz derivative for noncommutative differential algebras

Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra

Back Cover

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