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Title: | Weights of semi-invariants of the quotient division ring of an enveloping algebra | Authors: | NAUWELAERTS, Erna OOMS, Alfons |
Issue Date: | 1988 | Publisher: | Source: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 104 (1) , p. 13 -19 | Abstract: | Let L be a finite dimensional Lie algebra over a field k of characteristic zero, D(L) the quotient division ring of U(L). It is shown that the weights of the semi-invariants of D(L) form a finitely generated, free abelian group Arj(L). It follows, among other things, that the semicenter of D(L) is isomorphic to the group algebra of S.d{L) over the center Z(D(L)) of D(L). | Document URI: | http://hdl.handle.net/1942/37609 | ISSN: | 0002-9939 | e-ISSN: | 1088-6826 | DOI: | 10.1090/S0002-9939-1988-0958034-9 | Category: | A2 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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S0002-9939-1988-0958034-9.pdf Restricted Access | Published version | 767.13 kB | Adobe PDF | View/Open Request a copy |
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