Lie algebras, Madison 1987: proceedings of a workshop held in Madison, Wisconsin, August 23-28, 1987
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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The absolute toral rank of a Lie algebra by H Strade
n by R L Wilson
Isomorphism classes of Hamiltonian Lie algebras
6 other sections not shown
3-dimensional non-split simple absolute toral rank acts nilpotently algebra of dimension algebraically closed fields algebras of Cartan Amer Associative Algebras assume assumption automorphism b-module Benkart canonical Cartan subalgebra Cartan type classification cohomology groups Corollary define definition denote differential forms dim Tq exists Farnsteiner finite-dimensional follows graded Lie algebras Hence highest weight implies isomorphic Kac-Moody algebra Lemma linear locally nilpotent m-tuple Math matrix maximal toral rank maximal torus minimal polynomial modular atom modular chain Modular Lie Algebras nonzero element Ny(H obtain p-envelope prime characteristic Proof Proposition 2.3 prove R. L. Wilson reduced expression representation restricted Lie algebra restricted simple Lie restricted subalgebra result satisfies scalar Schubert submodules semisimple simple algebra simple Lie algebras Strade subalgebra lattices subalgebra of codimension supersolvable Suppose Theorem TR(L unique maximal torus weight module weight space weight vector Witt algebras yields Zassenhaus algebra