Hardcover ISBN:  9780821841211 
Product Code:  ADVSOV/17 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Electronic ISBN:  9781470446154 
Product Code:  ADVSOV/17.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 

Book DetailsAdvances in Soviet MathematicsVolume: 17; 1993; 216 ppMSC: Primary 17;
This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinitedimensional, 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 KacMoody 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.
ReadershipResearch mathematicians.

Table of Contents

Articles

A. B. Astashkevich and D. B. Fuchs  On the cohomology of the Lie superalgebra $W(m\vert n)$

Boris Feign and Feodor Malikov  Integral intertwining operators and complex powers of differential and qdifference operators

Dmitry Fuchs  Singular vectors over the Virasoro algebra and extended Verma modules

K. V. Kozerenko  Main theorems of invariant theory for the Lie algebra $\mathfrak {sl} (2)$ in the case of a field of finite characteristic

Feodor Malikov  On a duality for Zgraded algebras and modules

V. Yu. Ovsienko and O. D. Ovsienko  Projective structures and infinitedimensional Lie algebras associated with a contact manifold

V. S. Retakh and V. N. Shander  The Schwartz derivative for noncommutative differential algebras

F. V. Weinstein  Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra


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This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinitedimensional, 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 KacMoody 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.
Research mathematicians.

Articles

A. B. Astashkevich and D. B. Fuchs  On the cohomology of the Lie superalgebra $W(m\vert n)$

Boris Feign and Feodor Malikov  Integral intertwining operators and complex powers of differential and qdifference operators

Dmitry Fuchs  Singular vectors over the Virasoro algebra and extended Verma modules

K. V. Kozerenko  Main theorems of invariant theory for the Lie algebra $\mathfrak {sl} (2)$ in the case of a field of finite characteristic

Feodor Malikov  On a duality for Zgraded algebras and modules

V. Yu. Ovsienko and O. D. Ovsienko  Projective structures and infinitedimensional Lie algebras associated with a contact manifold

V. S. Retakh and V. N. Shander  The Schwartz derivative for noncommutative differential algebras

F. V. Weinstein  Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra