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math.CO2008★ 95 cited
Quasisymmetric Schur functions
J. Haglund, K. Luoto, S. Mason +1
We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure atoms. Our…
math.CO2008
Expressions for Catalan Kronecker Products
Andrew Brown, Stephanie van Willigenburg, Mike Zabrocki
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 proper…