On Cohn's embedding of an enveloping algebra into a division ring
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Cohn's embedding of an enveloping algebra into a division ring
|
|
| Creator |
Wehrfritz, B.A.F.
|
|
| Subject |
Статті
|
|
| Description |
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.
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. |
|
| Date |
2019-06-16T15:59:40Z
2019-06-16T15:59:40Z 1992 |
|
| Type |
Article
|
|
| Identifier |
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.
1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/155304 512.54 |
|
| Language |
en
|
|
| Relation |
Український математичний журнал
|
|
| Publisher |
Інститут математики НАН України
|
|