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math.RT2011
The image of the Lepowsky homomorphism for the group
Alfredo Brega, Leandro Cagliero, Juan Tirao
Let be a semisimple Lie group, let be a maximal compact subgroup of and let denote the complexification of their Lie algebras. L…
math.RT2008★ 4 cited
LU-decomposition of a noncommutative linear system and Jacobi polynomials
Alfredo Brega, Leandro Cagliero
In this paper we obtain the LU-decomposition of a noncommutative linear system of equations that, in the rank one case, characterizes the image of the Lepowsky homomorphism $U(\lie…