Quantum super spheres and their transformation groups, representations, and little t-Jacobi polynomials
نویسندگان
چکیده
منابع مشابه
QUANTUM SUPER SPHERES AND THEIR TRANSFORMATION GROUPS, REPRESENTATIONS AND LITTLE t-JACOBI POLYNOMIALS
Quantum super 2-shpheres and the corresponding quantum super transformation group are introduced in analogy to the well-known quantum 2-shpheres and quantum SL(2), connection between little t-Jacobi polynomials and the finite dimensional representations of the quantum super group is formulated, and the Peter-Weyl theorem is obtained. The quantum group SUq(2) introduced by Woronowicz and the qua...
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this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولUniversal T - matrix , Representations of OSp q ( 1 / 2 ) and Little Q - Jacobi Polynomials
We obtain a closed form expression of the universal T-matrix encapsulating the duality between the quantum superalgebra U q [osp(1/2)] and the corresponding su-pergroup OSp q (1/2). The classical q → 1 limit of this universal T matrix yields the group element of the undeformed OSp(1/2) supergroup. The finite dimensional representations of the quantum supergroup OSp q (1/2) are readily construct...
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Introduction Recently I.Macdonald deened a family of systems of orthogonal symmetric poly-nomials depending on two parameters q; k which interpolate between Schur's symmetric functions and certain spherical functions on SL(n) over the real and p-adic elds M]. These polynomials are labeled by dominant integral weights of SL(n), and (as was shown by I.Macdonald) are uniquely deened by two conditi...
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Literature for this section is for instance Sugiura [3, Ch. 1]. Let G be a group. Representations of G can be defined on any vector space (possibly infinite dimensional) over any field, but we will only consider representations on finite dimensional complex vector spaces. Let V be a finite dimensional complex vector space. Let GL(V ) be the set of all invertible linear transformations of V . Th...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2003
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00101-7