Advances in Soviet Mathematics 1993; 216 pp; hardcover Volume: 17 ISBN10: 0821841211 ISBN13: 9780821841211 List Price: US$128 Member Price: US$102.40 Order Code: ADVSOV/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. Readership Research mathematicians. Table of Contents  A. B. Astashkevich and D. B. Fuchs  On the cohomology of the Lie superalgebra \(W(m\vert n)\)
 B. Feigin and F. Malikov  Integral intertwining operators and complex powers of differential and \(q\)difference operators
 D. 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
 F. Malikov  On a duality for \({\mathbb Z}\)graded 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 Schwarz derivative for noncommutative differential algebras
 F. V. Weinstein  Filtering bases: A tool to compute cohomologies of abstract subalgebras of the Witt algebra
