2017
Том 69
№ 9

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Cohn's embedding of an enveloping algebra into a division ring

Wehrfritz B. A. F.

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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.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 657-662.

Citation Example: Wehrfritz B. A. F. Cohn's embedding of an enveloping algebra into a division ring // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 729–735.

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