A q-analog of Schur's Q-functions

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We present a family of analogs of the Hall-Littlewood symmetric functions in the $Q$-function algebra. The change of basis coefficients between this family and Schur's $Q$-functions are $q$-analogs of numbers of marked shifted tableaux. These coefficients exhibit many parallel properties to the Kostka-Foulkes polynomials.
24 pages

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Combinatorics, Quantum Algebra, 05E05, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/63497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203046
 http://arxiv.org/abs/math/0203046

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arXiv