7 papers · 1 filter
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…
Polynomial functors and two-parameter quantum symmetric pairs
Valentin Buciumas, Hankyung Ko
We develop a theory of two-parameter quantum polynomial functors. Similar to how (strict) polynomial functors give a new interpretation of polynomial representations of the general…
2-representations of small quotients of Soergel bimodules in infinite types
Hankyung Ko, Volodymyr Mazorchuk
We determine for which Coxeter types the associated small quotient of the -category of Soergel bimodules is finitary and, for such a small quotient, classify the simple transiti…
Grade zero part of forced graded algebras
Hankyung Ko
The paper concerns a certain subcategory of the category of representations for a semisimple algebraic group in characteristic , which arise from the semisimple modules for…