k-Schur Functions and Affine Schubert Calculus by Thomas Lam Luc Lapointe Jennifer Morse Anne Schilling Mark Shimozono & Mike Zabrocki

Author:Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono & Mike Zabrocki
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

5.4 A Product on

What is interesting about the elements is that they are clearly closed under the usual coproduct operation of the symmetric functions. It is therefore natural to consider the coefficients that appear in the coproduct of the elements which are dual to the k-Schur functions as the structure constants of the product of k-Schur functions.

Define the coefficients by the coproduct formula

We will give a more precise calculation of these coefficients below, but assuming that they exist, we then define

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