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Kostant -decomposition of homology I. Finite-dimensional representations
Steven V Sam, Keller VandeBogert, Jerzy Weyman
We give explicit, uniform formulas for the graded characters and total ranks of the Lie algebra homology of finite-dimensional representations in all classical types. In many cases…
math.RT2025
Stable sheaf cohomology and Koszul--Ringel duality
Claudiu Raicu, Keller VandeBogert
We identify a close relationship between stable sheaf cohomology for polynomial functors applied to the cotangent bundle on projective space, and Koszul--Ringel duality on the cate…