27 citations · 45 across the 5 of their papers we have counts for
5 papers
Interpolation analogues of Schur Q-functions
Vladimir N. Ivanov
We introduce interpolation analogues of Schur Q-functions - the multiparameter Schur Q-functions. We obtain for them several results: a combinatorial formula, generating functions…
Kerov's central limit theorem for the Plancherel measure on Young diagrams
Vladimir Ivanov, Grigori Olshanski
Consider random Young diagrams with a fixed number n of boxes, where the probability distribution on diagrams is determined by the Plancherel measure. That is, the weight of a diag…
The Dimension of Skew Shifted Young Diagrams, and Projective Characters of the Infinite Symmetric Group
Vladimir N. Ivanov
Classical Schur P-functions are the particular case of Hall-Littlewood polynomials when the parameter is equal to -1. We introduce factorial (interpolation) analogues of Schur P-fu…
The Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations
Vladimir Ivanov, Sergei Kerov
We prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main…
Frobenius-Schur functions
Grigori Olshanski, Amitai Regev, Anatoly Vershik
The present paper is a detailed version of math/0003031. We introduce and study a new basis in the algebra of symmetric functions. The elements of this basis are called the Frobeni…