The derivation algebra of the Cartan-type Lie superalgebra HO
نویسندگان
چکیده
منابع مشابه
Primeness of the Enveloping Algebra of a Cartan Type Lie Superalgebra
We show that a primeness criterion for enveloping algebras of Le superalgebras discovered by Bell is applicable to the Cartan type Lie superal-gebras W(n), n even. Other algebras are considered but there are no deenitive answers in these cases. Allen Bell has shown in B] that if L is a nite-dimensional Lie superalgebra over a eld of characteristic zero, then the primeness of the universal envel...
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We decompose tensor products of the defining representation of a Cartan type Lie algebra W (n) in the case where the number of tensoring does not exceed the rank of the Lie algebra. As a result, we get a kind of Schur duality between W (n) and a finite dimensional non-semisimple algebra, which is the semi-group ring of the transformation semigroup Tm .
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2003.10.019