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dc.contributor.author |
Wehrfritz, B.A.F. |
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dc.date.accessioned |
2019-06-16T15:59:40Z |
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dc.date.available |
2019-06-16T15:59:40Z |
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dc.date.issued |
1992 |
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dc.identifier.citation |
On Cohn's embedding of an enveloping algebra into a division ring / B.A.F. Wehrfritz // Український математичний журнал. — 1992. — Т. 44, № 6. — С. 729–735. — Бібліогр.: 5 назв. — англ. |
uk_UA |
dc.identifier.issn |
1027-3190 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/155304 |
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dc.description.abstract |
In 1961 P. М. Cohn proved that the universal enveloping algebra of any Lie algebra over a field-can be embedded into a division ring. (The Lie algebra is not assumed to be finite dimensional.) Cohn's method is less than direct. We give a more explicit construction. These division rings have recently found uses in the theory of skew linear groups. |
uk_UA |
dc.description.abstract |
Let F be a field, L a Lie F-algebra and U=U(L) the universal enveloping algebra of L. In [1] Cohn constructs an embedding of U into a division ring. Recently there has been interest in this specific division ring in connection with matrix groups and matrix rings [2–4]. Cohn's construction is less than direct and it seemed useful to have a very explicit description of D, at least for the benefit of group theorists. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Український математичний журнал |
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dc.subject |
Статті |
uk_UA |
dc.title |
On Cohn's embedding of an enveloping algebra into a division ring |
uk_UA |
dc.title.alternative |
Про Конове вкладення обгортуючої алгебри в кільце з діленням |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
dc.identifier.udc |
512.54 |
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