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.
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ISBN-13
978-0-8218-4121-1 (9780821841211)
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Schweitzer Klassifikation
On the cohomology of the Lie superalgebra $W(m\vert n)$ by A. B. Astashkevich and D. B. Fuchs Integral intertwining operators and complex powers of differential and $q$-difference operators by B. Feigin and F. Malikov Singular vectors over the Virasoro algebra and extended Verma modules by D. Fuchs Main theorems of invariant theory for the Lie algebra $\mathfrak{s1}(2)$ in the case of a field of finite characteristic by K. V. Kozerenko On a duality for ${\mathbb Z}$-graded algebras and modules by F. Malikov Projective structures and infinite-dimensional Lie algebras associated with a contact manifold by V. Yu. Ovsienko and O. D. Ovsienko The Schwarz derivative for noncommutative differential algebras by V. S. Retakh and V. N. Shander Filtering bases: A tool to compute cohomologies of abstract subalgebras of the Witt algebra by F. V. Weinstein.
