Interpolation analogues of Schur Q-functions
| dc.creator | Ivanov, Vladimir N. | |
| dc.date | 2003-05-29 | |
| dc.date.accessioned | 2026-07-07T04:58:22Z | |
| dc.date.available | 2026-07-07T04:58:22Z | |
| dc.description | 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. | |
| dc.description | LaTeX2e, 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305419 | |
| dc.identifier | http://arxiv.org/abs/math/0305419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67611 | |
| dc.subject | Combinatorics | |
| dc.subject | Representation Theory | |
| dc.subject | 05E05 (Primary) 05C38, 05E10, 20C25, 20C30 (Secondary) | |
| dc.title | Interpolation analogues of Schur Q-functions | |
| dc.type | text |