Symmetric polynomials vanishing on the diagonals shifted by roots of unity

Details Symmetric polynomials vanishing on the diagonals shifted by roots of unity Symmetric polynomials vanishing on the diagonals shifted by roots of unity

2002-09-11

arxiv.org/abs/math/0209126v1

Mathematics

Quantum Algebra

Latex, 13 pages

Scientific paper

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.

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