arXiv Analytics

Sign in

arXiv:2210.02269 [math.RT]AbstractReferencesReviewsResources

Cohomology in singular blocks of parabolic category $\mathcal{O}$

Jonathan Gruber

Published 2022-10-05Version 1

We determine the dimensions of $\mathrm{Ext}$-groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category $\mathcal{O}$ for complex semisimple Lie algebras and affine Kac-Moody algebras.

Comments: 14 pages. The main results were originally part of Section 5 of arXiv:2207.11999, from which they will subsequently be removed, citing this article instead
Categories: math.RT
Subjects: 17B55, 17B10, 17B67
Related articles: Most relevant | Search more
arXiv:0909.1860 [math.RT] (Published 2009-09-10, updated 2011-01-27)
Singular blocks of parabolic category O and finite W-algebras
arXiv:math/0608234 [math.RT] (Published 2006-08-10, updated 2008-03-06)
Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
arXiv:math/0608235 [math.RT] (Published 2006-08-10, updated 2007-08-29)
Symmetric functions, parabolic category O and the Springer fiber

Links

Toolbox