Symmetric polynomials vanishing on the diagonals shifted by roots of unity
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2002
- DOI:
- 10.48550/arXiv.math/0209126
- arXiv:
- arXiv:math/0209126
- Bibcode:
- 2002math......9126F
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Combinatorics
- E-Print:
- Latex, 13 pages