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http://hdl.handle.net/1942/37477
Title: | ON LIE ALGEBRAS WITH PRIMITIVE ENVELOPES, SUPPLEMENTS | Authors: | OOMS, Alfons | Issue Date: | 1976 | Publisher: | Source: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 58 , p. 67 -72 | Abstract: | Let L be a finite dimensional Lie algebra over a field k of characteristic zero, U(L) its universal enveloping algebra and Z(D(L)) the center of the division ring of quotients of U(L). A number of conditions on L are each shown to be equivalent with the primitive of U(L). Also, a formula is given for the transcendency degree of Z(D(L)) over k. | Keywords: | Finite dimensional Lie algebra;universal enveloping algebra;primitive algebra;division ring of quotients | Document URI: | http://hdl.handle.net/1942/37477 | ISSN: | 0002-9939 | e-ISSN: | 1088-6826 | DOI: | 10.1090 / S0002- 9939-1976-0430007-6 | Rights: | American Mathematical Society 1976 License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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S0002-9939-1976-0430007-6.pdf | 577.71 kB | Adobe PDF | View/Open |
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