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Interpolation analogues of Schur Q-functions | | Vladimir N. Ivanov
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29 May 2003 | | Subject: | Combinatorics; Representation Theory MSC-class: 05E05 (Primary) 05C38, 05E10, 20C25, 20C30 (Secondary) | math.CO math.RT | | Abstract: | We introduce interpolation analogues of Schur Q-functions - the multiparameter Schur Q-functions. We obtain for them several results: a combinatorial formula, generating functions for one-row and two-rows functions, vanishing and characterization properties, a Pieri-type formula, a Nimmo-type formula (a relation of two Pfaffians), a Giambelli-Schur-type Pfaffian formula, a determinantal formula for the transition coefficients between multiparameter Schur Q-functions with different parameters. We write an explicit Pfaffian expression for the dimension of skew shifted Young diagram. This paper is a continuation of author’s paper math.CO/0303169 and is a partial projective analogue of the paper by A. Okounkov and G. Olshanski q-alg/9605042, and of the paper by G. Olshanski, A. Regev and A. Vershik math.CO/0110077. | | Source: | arXiv, math.CO/0305419 | | Services: | Forum | Review | PDF | Favorites | |
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