2012 / March Volume 7 No.1
Zonal Polynomials And Quantum Antisymmetric Matrices
| Published Date |
2012 / March
|
|---|---|
| Title | Zonal Polynomials And Quantum Antisymmetric Matrices |
| Author | |
| Keyword | |
| Download | |
| Pagination | 1-31 |
| Abstract | 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.
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| AMS Subject Classification |
20G42, 17B37, 43A90, 05E10
|
| Received |
2011-10-06
|
| Accepted |
2011-10-07
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