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math.RT2021★ 1 cited
Join operation for the Bruhat order and Verma modules
Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen
We observe that the join operation for the Bruhat order on a Weyl group agrees with the intersections of Verma modules in type . The statement is not true in other types, and we…
math.RT2021★ 1 cited
-Harish-Chandra modules for
Volodymyr Mazorchuk, Rafael Mrđen
We use analogues of Enright's and Arkhipov's functors to determine the quiver and relations for a category of -modules which are locally finite (and w…
math.RT2021
Some homological properties of category , VI
Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen
This paper explores various homological regularity phenomena (in the sense of Auslander) in category and its several variations and generalizations. Additionally, we…