Orthogonal Polynomials and Lie Superalgebras
نویسنده
چکیده
depending on indeterminates x1, . . . , xn. Dyson conjectured the explicit form of this constant term. His conjecture was soon related with the root system of sl(n), generalized to other root systems of simple Lie algebras and proved. The expressions obtained for the Dyson constant are called Macdonald’s identities, see [M]. Let us briefly recall the main results. Let g be a simple (finite dimensional) Lie algebra, R its root system, P the group of weights; A = C[P ] the group of formal exponents of the form e, where λ ∈ P ; let W be the Weyl group of g and
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تاریخ انتشار 2008