Knop F (1990)
Publication Language: German
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1990
Publisher: Walter de Gruyter
Book Volume: 406
Pages Range: 5-9
Let g be a complex semisimple Lie algebra and k a reductive subalgebra of g. The paper is concerned with the centralizer U(g)^k of k in the enveloping algebra U(g). Denote by z(g), z(k) the center of U(g), U(k) respectively. Then there is a canonical homomorphism p:z(g)\otimes z(k)-->U(g)^k.
Theorem: Assume k does not contain a non-zero ideal of g. Then the following statements are equivalent:
The method is using the canonical filtration of U(g) and then proving an equivalent theorem for the associated graded algebra.
APA:
Knop, F. (1990). Der Zentralisator einer Liealgebra in einer einhüllenden Algebra. Journal für die reine und angewandte Mathematik, 406, 5-9.
MLA:
Knop, Friedrich. "Der Zentralisator einer Liealgebra in einer einhüllenden Algebra." Journal für die reine und angewandte Mathematik 406 (1990): 5-9.
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