Subspace decompositions invariant under ad/sub e/ for Lie-admissible algebras
Conference
·
· Hadronic J.; (United States)
OSTI ID:6424410
Let A be a non-associative algebra of characteristic not two. It is known that the operator ad/sub x/ on A defined by ad/sub x/(y) = (x,y) is a derivation of A/sup +/ for all x if and only if A is flexible, and that A is Lie-admissible if and only if ad/sub x/ is a derivative of A/sup -/ for each x in A. Properties of a decomposition of A into subspaces invariant under ad/sub e/, e an idempotent element, are investigated. The very strong relations between the Peirce decomposition, the Lie-admissible condition and ad/sub e/, e an indempotent, are determined. Multiplicative relations among the subspaces of a are given.
- Research Organization:
- Univ. of Texas, San Antonio
- OSTI ID:
- 6424410
- Report Number(s):
- CONF-820136-
- Journal Information:
- Hadronic J.; (United States), Vol. 5:5; Conference: 1. international conference on non-potential interactions and their Lie-admissible treatment, Orleans, France, 5 Jan 1982
- Country of Publication:
- United States
- Language:
- English
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