Polynomial identities for simple Lie superalgebras
نویسندگان
چکیده
منابع مشابه
Capelli Identities for Lie Superalgebras
The Capelli identity [1] is one of the best exploited results of the classical invariant theory. It provides a set of distinguished generators C1, . . . ,CN for the centre of the enveloping algebra U(glN ) of the general linear Lie algebra. For any non-negative integer M consider the natural action of the Lie algebra glN in the vector space CN⊗CM . Extend it to the action of the algebra U(glN )...
متن کاملLocally finite basic classical simple Lie superalgebras
In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.
متن کاملModels of Some Simple Modular Lie Superalgebras
Models of the exceptional simple modular Lie superalgebras in characteristic p ≥ 3, that have appeared in the classification due to Bouarroudj, Grozman and Leites [BGLb] of the Lie superalgebras with indecomposable symmetrizable Cartan matrices, are provided. The models relate these exceptional Lie superalgebras to some low dimensional nonassociative algebraic systems. Introduction The finite d...
متن کاملThe Invariant Polynomials on Simple Lie Superalgebras
Chevalley’s theorem states that for any simple finite dimensional Lie algebra g: (1) the restriction homomorphism of the algebra of polynomials S(g∗) −→ S(h∗) onto the Cartan subalgebra h induces an isomorphism S(g∗)g ∼= S(h∗)W , where W is the Weyl group of g; (2) each g-invariant polynomial is a linear combination of the polynomials trρ(x)k , where ρ is a finite dimensional representation of ...
متن کاملCONSTRUCTING r−MATRICES ON SIMPLE LIE SUPERALGEBRAS
We construct r−matrices for simple Lie superalgebras with nondegenerate Killing forms using Belavin-Drinfeld type triples. This construction gives us the standard r−matrices and some nonstandard ones.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
سال: 1987
ISSN: 0334-2700,1839-4078
DOI: 10.1017/s0334270000005427