On a new class of commutative subalgenras of the maximal gel' fand-kirillov dimension in the universal enveloping algebra of simple lie algebra

摘要

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