7 citations · 31 across the 9 of their papers we have counts for
9 papers
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…
-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…
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…
Bigrassmannian permutations and Verma modules
Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen
We show that bigrassmannian permutations determine the socle of the cokernel of an inclusion of Verma modules in type . All such socular constituents turn out to be indexed by W…
Some homological properties of category , V
Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen
We compute projective dimension of translated simple modules in the regular block of the BGG category in terms of Kazhdan-Lusztig combinatorics. This allows us to det…
Lie algebra modules which are locally finite over the semi-simple part
Volodymyr Mazorchuk, Rafael Mrđen
For a finite-dimensional Lie algebra over with a fixed Levi decomposition where is semi…
BGG complexes in singular blocks of category O
Volodymyr Mazorchuk, Rafael Mrđen
Using translation from the regular block, we construct and analyze properties of BGG complexes in singular blocks of BGG category . We provide criteria, in terms of…
Singular BGG complexes over isotropic 2-Grassmannian
Denis Husadžić, Rafael Mrđen
We construct exact sequences of invariant differential operators acting on sections of certain homogeneous vector bundles in singular infinitesimal character, over the isotropic $2…
Singular BGG complexes for the symplectic case
Rafael Mrđen
Using the Penrose transform, we construct analogues of the BGG (Bernstein-Gelfand-Gelfand) resolutions in certain singular infinitesimal characters, in the holomorphic geometric se…