An addition theorem for someq-Hahn polynomials

Monatshefte für Mathematik volume 85, pages5–37(1978)Cite this article

Abstract

Theq-Hahn polynomials appear as functions on the lattice of subspaces of a finite-dimensional vector space over a finite field. Irreducible representations of the related general linear group are restricted to a maximal parabolic subgroup, and a specific description of the resulting irreducible components leads to an addition formula.

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Author information

Affiliations

  1. Department of Mathematics, University of Virginia, 22903, Charlottesville, VA, USA

    Prof. Charles F. Dunkl

Authors
  1. Prof. Charles F. Dunkl
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Additional information

During the preparation of this paper, the author was partially supported by NSF grant MCS76-07022.

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Dunkl, C.F. An addition theorem for someq-Hahn polynomials. Monatshefte für Mathematik 85, 5–37 (1978). https://doi.org/10.1007/BF01300958

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Keywords

  • Vector Space
  • Irreducible Representation
  • General Linear
  • Irreducible Component
  • Finite Field