Symmetric polynomials vanishing on the diagonals shifted by roots of unity
Quantum Algebra
2007-05-23 v1 Combinatorics
Abstract
For a pair of positive integers (k,r) with r>1 such that k+1 and r-1 are relatively prime, we describe the space of symmetric polynomials in variables x_1,...,x_n which vanish at all diagonals of codimension k of the form x_i=tq^{s_i}x_{i-1}, i=2,...,k+1, where t and q are primitive roots of unity of orders k+1 and r-1.
Cite
@article{arxiv.math/0209126,
title = {Symmetric polynomials vanishing on the diagonals shifted by roots of unity},
author = {B. Feigin and M. Jimbo and T. Miwa and E. Mukhin and Y. Takeyama},
journal= {arXiv preprint arXiv:math/0209126},
year = {2007}
}
Comments
Latex, 13 pages