Expressions for Catalan Kronecker Products

Details Expressions for Catalan Kronecker Products Expressions for Catalan Kronecker Products

2008-09-19

arxiv.org/abs/0809.3469v1

Mathematics

Combinatorics

19 pages

Scientific paper

We give some elementary manifestly positive formulae for the Kronecker
products s_(d,d) * s_(d+k,d-k) and s_(d,d) * s_(2d-k,1^k). These formulae
demonstrate some fundamental properties of the Kronecker coefficients, and we
use them to deduce a number of enumerative and combinatorial results.

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