Casimir operators, abelian subspaces and u-cohomology

Details Casimir operators, abelian subspaces and u-cohomology Casimir operators, abelian subspaces and u-cohomology

2007-05-15

arxiv.org/abs/0705.2096v2

Rend. Mat. Appl. (7) 27 (2007), no. 3-4, 265--276

Mathematics

Representation Theory

Latex file, 11 pages, revised version. To appear in "Rendiconti di Matematica e delle sue Applicazioni"

Scientific paper

This survey paper is an exposition of old and recent results of Kostant and
al. on the relationships between the exterior algebra of a simple Lie algebra
and the action of the Casimir operator on it. Our exposition relies on
u-cohomology and it is basically self-contained.

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