Lie Algebras, Madison 1987: Proceedings of a Workshop held in Madison, Wisconsin, August 23–28, 1987

Helmut Strade (auth.), Georgia Benkart, J. Marshall Osborn (eds.)9780387511474, 0-387-51147-4

During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. The principal focus of the year and of the workshop was the long-standing problem of classifying the simple finite-dimensional Lie algebras over algebraically closed field of prime characteristic. However, other lectures at the workshop dealt with the related areas of algebraic groups, representation theory, and Kac-Moody Lie algebras. Fourteen papers were presented and nine of these (eight research articles and one expository article) make up this volume.

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Table of contents :
The absolute toral rank of a lie algebra….Pages 1-28
Differential forms and the algebra W(m:n)….Pages 29-41
Isomorphism classes of Hamiltonian lie algebras….Pages 42-57
On lie algebras with a subalgebra of codimension one….Pages 58-66
Forms of restricted simple lie algebras….Pages 67-80
The subalgebra lattice of a supersolvable lie algebra….Pages 81-92
Lie theoretic methods in cohomology theory….Pages 93-110
An introduction to schubert submodules….Pages 111-123
Kac-Moody modules and generalized Clifford algebras….Pages 124-143
Workshop lectures….Pages 144-145