Realizations of infinite-dimensional Lie-admissible algebras, II
Conference
·
· Hadronic J.; (United States)
OSTI ID:6934980
Let V/sub a//sup 1/ and V/sub a//sup 2/ denote the vector spaces over the integers spanned respectively by s/sup 1,m/(;a) and s/sup 2,m/(;a), m = 0,1,2,... . In this paper we show that V/sub a//sup 1/ and V/sub a//sup 2/ with the composition laws 1 superimposed over zero and 2 superimposed over 0, respectively are nonassociative algebras that are realizations of infinite dimensional graded Lie-admissible algebras of the right Vinberg type. The corresponding Lie algebras are a generalization of the dimensional Jacobson-Witt Lie algebras.
- Research Organization:
- Soreq Nuclear Research Center, Yavne, Israel
- OSTI ID:
- 6934980
- Report Number(s):
- CONF-820136-
- Conference Information:
- Journal Name: Hadronic J.; (United States) Journal Volume: 5:2
- Country of Publication:
- United States
- Language:
- English
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