On some commutative subalgebras of the universal enveloping algebra of the Lie algebra gl(n,C)
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
For the Lie algebra g=gl(n,C) it is proved that the maximal commutative subalgebras of the Poisson algebra P(g) obtained by the method of shifting the invariants can be lifted to the enveloping algebra. Moreover, this lifting can be carried out by means of the symmetrization map.
- OSTI ID:
- 21202976
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 9 Vol. 191; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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