On a new class of the commutative subalgebras of the maximal Gel'fand-Kirillov dimension in the universal enveloping algebra of a simple Lie algebra

1998/11/11 by T. Skrypnyk, Skrypnyk, T.
Mathematics · #17 B35 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17 #msc:B35

paper · pdf · doi:10.48550/arxiv.math/9811080

Latex,20 pages

arxiv created 1998/11/11 · arxiv updated 2009/11/30

Abstract

New commutative subalgebras of the maximal Gel'fand-Kirillov dimension in the universal enveloping algebras of classical Lie algebras gl(n) and so(n) are constructed. In the case of sp(n) Gel'fand-Tsetlin algebra is extended to a maximally commutative one.

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