From $p$-adic to real Grassmannians via the quantum

DOI10.1016/j.aim.2005.05.012zbMath1118.33006arXivmath/0405138OpenAlexW1986102517MaRDI QIDQ2496715

Publication date: 20 July 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405138

zbMATH Keywords

quantum Grassmannians multivariable orthogonal polynomials representations of real and $p$-adic groups shifted Macdonald polynomials

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (3)

New foundations for geometry Two non-additive languages for arithmetical geometry ⋮ LU factorizations, $q = 0$ limits, and $p$-adic interpretations of some $q$-hypergeometric orthogonal polynomials ⋮ On Some Geometric Representations ofGL_N(𝔬)

Cites Work

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Jacobi functions as limit cases of q-ultraspherical polynomials
Association schemes and t-designs in regular semilattices
Generalized binomial coefficients and Macdonald polynomials
On elliptic product formulas for Jackson integrals associated with reduced root systems
Quelques valeurs prises par les polynômes de Macdonald décalés. (Some special values for shifted Macdonald polynomials)
On the nilpotent representations of $GL_ n({\mathcal O})$
Symmetric and non-symmetric quantum Capelli polynomials
Binomial formula for Macdonald polynomials and applications
Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians
LU factorizations, $q = 0$ limits, and $p$-adic interpretations of some $q$-hypergeometric orthogonal polynomials
On Some Geometric Representations ofGL_N(𝔬)
Formulas for Elementary Spherical Functions and Generalized Jacobi Polynomials
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
Une q-Intégrale de Selberg et Askey
Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
Multivariable Big and Little q-Jacobi Polynomials
Limit Transitions for BC Type Multivariable Orthogonal Polynomials
$q$-Selberg integrals and Macdonald polynomials
Generalized Jacobi Polynomials as Spherical Functions of the Grassmann Manifold

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From \(p\)-adic to real Grassmannians via the quantum