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math.RT2020★ 7 cited
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…
math.RT2020★ 7 cited
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…
math.RT2020★ 7 cited
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…