Interpolation Analogs of Schur Q-Functions
Interpolation Analogs of Schur Q-Functions
复制标题
Schur Q 函数的插值类似物
DOI：
10.1007/s10958-005-0422-6
复制
发表时间：
2003
影响因子：
--
通讯作者：
Vladimir N. Ivanov
中科院分区：
文献类型：
--
作者：
Vladimir N. Ivanov
介绍了Schur Q-函数的插值类似物--多参数Schur Q-函数。我们得到了几个结果：一个组合公式，一行和两行函数的生成函数，消失和特征性质，一个Pieri型公式，一个Nimmo型公式（两个Pfumerans的商），一个Giambelli-Schur型Pfumerans公式，一个多参数Schur Q-函数与不同参数之间的转移系数的行列式公式.我们写了一个明确的Pfiran表达式的维数的斜移杨图。本文是作者的论文math. CO/0303169的续篇，也是A. Okounkov和G. Olshanski和G. Olshanski，A. Regev和A. Vershik。书目：36种。
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.