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Unconventional Lie Algebras

Edited by: Dmitry Fuchs
Available Formats:
Hardcover ISBN: 978-0-8218-4121-1
List Price: $135.00 MAA Member Price:$121.50
AMS Member Price: $108.00 Electronic ISBN: 978-1-4704-4615-4 Product Code: ADVSOV/17.E List Price:$135.00
MAA Member Price: $121.50 AMS Member Price:$108.00
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List Price: $202.50 MAA Member Price:$182.25
AMS Member Price: $162.00 Click above image for expanded view Unconventional Lie Algebras Edited by: Dmitry Fuchs Available Formats:  Hardcover ISBN: 978-0-8218-4121-1 Product Code: ADVSOV/17  List Price:$135.00 MAA Member Price: $121.50 AMS Member Price:$108.00
 Electronic ISBN: 978-1-4704-4615-4 Product Code: ADVSOV/17.E
 List Price: $135.00 MAA Member Price:$121.50 AMS Member Price: $108.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$202.50 MAA Member Price: $182.25 AMS Member Price:$162.00
• Book Details

Volume: 171993; 216 pp
MSC: Primary 17;

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.

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 q-difference 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 Z-graded algebras and modules
• V. Yu. Ovsienko and O. D. Ovsienko - Projective structures and infinite-dimensional 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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Volume: 171993; 216 pp
MSC: Primary 17;

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.

• A. B. Astashkevich and D. B. Fuchs - On the cohomology of the Lie superalgebra $W(m\vert n)$
• K. V. Kozerenko - Main theorems of invariant theory for the Lie algebra $\mathfrak {sl} (2)$ in the case of a field of finite characteristic