2017
Том 69
№ 7

Всі номери

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

Веґрфріц Б. А. Ф.

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Абстракт

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.

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

Зразок цитування: Веґрфріц Б. А. Ф. On Cohn's embedding of an enveloping algebra into a division ring // Укр. мат. журн. - 1992. - 44, № 6. - С. 729–735.

Повний текст