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Interpolation Analogs of Schur Q-Functions
- Source :
- Journal of Mathematical Sciences. 131:5495-5507
- Publication Year :
- 2005
- Publisher :
- Springer Science and Business Media LLC, 2005.
-
Abstract
- We introduce interpolation analogs of the Schur Q-functions — the multiparameter Schur Q-functions. We obtain for them several results: a combinatorial formula, generating functions for one-row and two-row functions, vanishing and characterization properties, a Pieri-type formula, a Nimmo-type formula (a quotient 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 a skew shifted Young diagram. This paper is a continuation of the author's paper math. CO/0303169 and a partial projective analog of the paper q-alg/9605042 by A. Okounkov and G. Olshanski and the paper math. CO/0110077 by G. Olshanski, A. Regev, and A. Vershik. Bibliography: 36 titles.
- Subjects :
- Statistics and Probability
Mathematics::Combinatorics
Diagram (category theory)
Applied Mathematics
General Mathematics
Dimension (graph theory)
Pfaffian
Characterization (mathematics)
Expression (computer science)
Schur's theorem
Combinatorics
Mathematics::Representation Theory
Quotient
Interpolation
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 131
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........a54fff0945afa28b36168e365785f3ae