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[BOK][B] Representations of semisimple Lie algebras in the BGG category O
JE Humphreys - 2021 - books.google.com
This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig
Conjecture on characters of simple highest weight modules for a semisimple Lie algebra gg …
Conjecture on characters of simple highest weight modules for a semisimple Lie algebra gg …
[BOK][B] Knot invariants and higher representation theory
B Webster - 2017 - ams.org
We construct knot invariants categorifying the quantum knot variants for all representations
of quantum groups. We show that these invariants coincide with previous invariants defined …
of quantum groups. We show that these invariants coincide with previous invariants defined …
Nazarov–Wenzl algebras, coideal subalgebras and categorified skew Howe duality
M Ehrig, C Stroppel - Advances in Mathematics, 2018 - Elsevier
We describe how certain cyclotomic Nazarov–Wenzl algebras occur as endomorphism rings
of projective modules in a parabolic version of BGG category O of type D. Furthermore we …
of projective modules in a parabolic version of BGG category O of type D. Furthermore we …