Zonal Polynomials and Quantum Antisymmetric Matrices
نویسندگان
چکیده
We study the quantum symmetric spaces for quantum general linear groups modulo symplectic groups. We first determine the structure of the quotient quantum group and completely determine the quantum invariants. We then derive the characteristic property for quantum Phaffian as well as its role in the quantum invariant sub-ring. The spherical functions, viewed as Macdonald polynomials, are also studied as the quantum analog of zonal spherical polynomials.
منابع مشابه
6 M ay 2 00 4 Quantum group covariant ( anti ) symmetrizers , ε - tensors , vielbein , Hodge map
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GLq(N)and SOq(N)-covariant deformations of the completely symmetric/antisymmetric projectors with an arbitrary number of indices are explicitly constructed as polynomials in the braid matrices. The precise relation between the completely antisymmetric projectors and the completely antisymmetric tensor is determined. Adopting the GLq(N)and SOq(N)-covariant differential calculi on the correspondi...
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تاریخ انتشار 2011