7 citations · 24 across the 16 of their papers we have counts for
5 papers · 1 filter
On first extensions in -subcategories of
Hankyung Ko, Volodymyr Mazorchuk
We compute the first extension group from a simple object to a proper standard object and, in some cases, the first extension group from a simple object to a standard object in the…
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…
Alternating sign matrices and Verma modules
Hankyung Ko
We show that the poset of alternating sign matrices, with Bruhat order, is isomorphic to the poset of certain submodules of the dominant Verma module for the special linear Lie alg…
A singular Coxeter presentation
Ben Elias, Hankyung Ko
We enlarge a Coxeter group into a category, with one object for each finite parabolic subgroup, encoding the combinatorics of double cosets. This category, the singular Coxeter mon…
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…