Accession Number:

AD0632516

Title:

STABLE SUBALGEBRAS OF LIE ALGEBRAS AND ASSOCIATIVE ALGEBRAS.

Descriptive Note:

Technical rept.,

Corporate Author:

WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1966-05-01

Pagination or Media Count:

22.0

Abstract:

A subalgebra S of a Lie algebra L V, micro is stable if S remains a subalgebra under small deformations of L. It is shown that S is stable if H2S,V O. In particular, a semi-sample subalgebra of a Lie algebra is stable. The proof uses primarily the implicit function theorem. The proof is extended to the case of Lie algebras over algebraically closed fields and to associative algebras. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE