2-Verma modules
2021 ◽
Vol 0
(0)
◽
Abstract We construct a categorification of parabolic Verma modules for symmetrizable Kac–Moody algebras using KLR-like diagrammatic algebras. We show that our construction arises naturally from a dg-enhancement of the cyclotomic quotients of the KLR-algebras. As a consequence, we are able to recover the usual categorification of integrable modules. We also introduce a notion of dg-2-representation for quantum Kac–Moody algebras, and in particular of parabolic 2-Verma modules.
2007 ◽
Vol 06
(05)
◽
pp. 779-787
◽
Keyword(s):
2015 ◽
Vol 219
(4)
◽
pp. 760-766
◽
2014 ◽
Vol 445
◽
pp. 372
◽
2000 ◽
Vol 40
(4)
◽
pp. 707-729
◽
2006 ◽
Vol 80
(2)
◽
pp. 179-191
◽
Keyword(s):
Keyword(s):
1985 ◽
Vol 288
(2)
◽
pp. 791-791
◽