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math.CO2022★ 1 cited
Characters of level standard modules of as generating functions for generalised partitions
Jehanne Dousse, Isaac Konan
We give a new simple formula for the energy function of a level perfect crystal of type introduced by Kang, Kashiwara and Misra. We use this to give several express…
math.CO2022
Systematic study of Schmidt-type partitions via weighted words
Isaac Konan
Let be a sequence with elements in a commutative monoid . In this paper, we provide an explicit formula for $$\sum_{\la} C(\la) q^{\sum_{n\ge…