Identities of representations of Lie algebras and *-polynomial identities
Identifieur interne : 001568 ( Main/Exploration ); précédent : 001567; suivant : 001569Identities of representations of Lie algebras and *-polynomial identities
Auteurs : Tsetska Rashkova [Bulgarie] ; Vesselin Drensky [Bulgarie]Source :
- Rendiconti del Circolo Matematico di Palermo [ 0009-725X ] ; 1999-02-01.
Abstract
Abstract: In this paper we have found a necessary and sufficient condition for the existence of *-identities of special kind and in skew-symmetric variables in matrix algebras with symplectic involution *. The same result holds for the identities of the natural representation of the symplectic simple Lie algebra.
Url:
DOI: 10.1007/BF02844386
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: In this paper we have found a necessary and sufficient condition for the existence of *-identities of special kind and in skew-symmetric variables in matrix algebras with symplectic involution *. The same result holds for the identities of the natural representation of the symplectic simple Lie algebra.</div>
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