منابع مشابه
JACK POLYNOMIALS ATTACHED TO REPRESENTATIONS OF G(r, p, n)
The rational Cherednik algebra H is a certain algebra of differential-reflection operators attached to a complex reflection group. There is a category O of modules for this algebra which is a highest weight category. For the infinite family G(r, p, n) of complex reflection groups, the algebra H contains a subalgebra isomorphic to a (generalized) degenerate affine Hecke algebra, and our strategy...
متن کاملAn Identity of Jack Polynomials
In this work we give an alterative proof of one of basic properties of zonal polynomials and generalised it for Jack polynomials
متن کاملJACK POLYNOMIALS AND THE COINVARIANT RING OF G(r, p, n)
We study the coinvariant ring of the complex reflection group G(r, p, n) as a module for the corresponding rational Cherednik algebra H and its generalized graded affine Hecke subalgebra H. We construct a basis consisting of non-symmetric Jack polynomials, and using this basis decompose the coinvariant ring into irreducible modules for H. The basis consists of certain non-symmetric Jack polynom...
متن کاملJack Horner
assess their own thought processes in an internal dialogue similar to reasoned debate among group members; and to represent features of the world, not just as your perspective or my perspective, but as objectively true, as facts. Evolutionary psychology is a crowded market. There’s no shortage of books telling a story about how chimp-like ancestors turned into modern humans. A Natural History o...
متن کاملFrom Jack to Double Jack Polynomials via the Supersymmetric Bridge
The Calogero–Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has an equally rich structure. In particular, its eigenfunctions, the Jack superpolynomials, appear to share the very same remarkable combinatorial and structural properties as t...
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ژورنال
عنوان ژورنال: Rangifer
سال: 1983
ISSN: 1890-6729
DOI: 10.7557/2.3.2.474