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math.CO2021★ 1 cited
Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
Shinji Koshida
In this paper, we study relationships between the normalized characters of symmetric groups and the Boolean cumulants of Young diagrams. Specifically, we show that each normalized…
math.QA2021★ 1 cited
The quantum group dual of the first-row subcategory for the generic Virasoro VOA
Shinji Koshida, Kalle Kytölä
In several examples it has been observed that a module category of a vertex operator algebra (VOA) is equivalent to a category of representations of some quantum group. The present…