Structural aspects and representations of Kac-Moody algebras, their generalization...
FDM as a tool for Time Resolved Magnetic Resonance Spectroscopy.
| Full text | |
| Author(s): |
Benitez, German
;
Rocha, Henrique
Total Authors: 2
|
| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 15, n. 1, p. 18-pg., 2021-01-20. |
| Abstract | |
Molev (in: Doebner, Scherer, Nattermann (eds) Group 21, physical applications and mathematical aspects of geometry, groups, and algebras, World Scientific, Singapore, vol 1, pp 172-176, 1997) constructed generators of the center of the universal enveloping algebra U(g(m)(n)) for the truncated current Lie algebra g(m)(n) = gl(n)circle times C[x]/(x(m)). Such generators allow to define algebraic varieties associated to the center and the Gelfand-Tsetlin subalgebra. In this paper we prove that the Gelfand-Tsetlin variety is equidimensional of dimension mn(n - 1)/2 if and only if n = 1, 2, implying that U(g(m)(2)) is free over the Gelfand-Tsetlin subalgebra. (AU) | |
| FAPESP's process: | 18/12382-9 - Representations of current Lie algebras |
| Grantee: | Henrique de Oliveira Rocha |
| Support Opportunities: | Scholarships in Brazil - Master |