Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Dijkhuizen, Mathijs S."'
The quantum complex Grassmannian U_q/K_q of rank l is the quotient of the quantum unitary group U_q=U_q(n) by the quantum subgroup K_q=U_q(n-l)xU_q(l). We show that (U_q,K_q) is a quantum Gelfand pair and we express the zonal spherical functions, i.e
Externí odkaz:
http://arxiv.org/abs/math/9806123
We study irreducible *-representations of a certain quantization of the algebra of polynomial functions on a generalized flag manifold regarded as a real manifold. All irreducible *-representations are classified for a subclass of flag manifolds cont
Externí odkaz:
http://arxiv.org/abs/math/9802086
Autor:
Dijkhuizen, Mathijs S.
We present a general survey of some recent developments regarding the construction of compact quantum symmetric spaces and the analysis of their zonal spherical functions in terms of $q$-orthogonal polynomials. In particular, we define a one-paramete
Externí odkaz:
http://arxiv.org/abs/math/9512225
Publikováno v:
Lett.Math.Phys. 32 (1994) 315-330
The purely algebraic notion of CQG algebra (algebra of functions on a compact quantum group) is defined. In a straightforward algebraic manner, the Peter-Weyl theorem for CQG algebras and the existence of a unique positive definite Haar functional on
Externí odkaz:
http://arxiv.org/abs/hep-th/9406042
Publikováno v:
Transactions of the American Mathematical Society, 1998 Aug 01. 350(8), 3269-3296.
Externí odkaz:
https://www.jstor.org/stable/117778
Publikováno v:
Communications in Mathematical Physics; Jun1999, Vol. 203 Issue 2, p297-324, 28p
Publikováno v:
Geometriae Dedicata; October 1994, Vol. 52 Issue: 3 p291-315, 25p
Publikováno v:
Acta Applicandae Mathematicae; January 1993, Vol. 30 Issue: 1 p95-100, 6p
Autor:
Dijkhuizen, Mathijs S.
Publikováno v:
Acta Applicandae Mathematicae; August 1996, Vol. 44 Issue: 1-2 p59-80, 22p