English

Minor summation formula and a proof of Stanley's open problem

Combinatorics 2007-05-23 v8 Representation Theory

Abstract

In the open problem session of the FPSAC'03, R.P.Stanley gave an open problem. The purpose of this paper is to give a proof of this open problem. At the end of this paper we present certain corollaries involving the Big Schur functions and some polynomials arising from the Macdonald polynomials, which generalize Stanley's open problem.

Cite

@article{arxiv.math/0408204,
  title  = {Minor summation formula and a proof of Stanley's open problem},
  author = {Masao Ishikawa},
  journal= {arXiv preprint arXiv:math/0408204},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T17:08:47.408Z