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

Details 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 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

arxiv.org/abs/math/9811080v1

Mathematics

Representation Theory

Latex,20 pages

Scientific paper

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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