Affine Brauer category and parabolic category \(\mathcal{O}\) in types \(B, C, D\)

DOI10.1007/S00209-018-2207-XzbMath1461.18013OpenAlexW2903417681MaRDI QIDQ2272960

Hebing Rui, Linliang Song

Publication date: 17 September 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-018-2207-x

zbMATH Keywords

symplectic Lie algebradecomposition numbersendomorphism algebrasstrict monoidal categoryorthogonal Lie algebraBrauer categorycyclotomic Nazarov-Wenzl algebraBGG category \({\mathcal O}\)Nazarov-Wenzl algebraparabolic Lie algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (5)

A basis theorem for the affine Kauffman category and its cyclotomic quotients ⋮ Representations of Brauer category and categorification ⋮ Blocks of the Brauer category over the complex field ⋮ Representations of cyclotomic oriented Brauer categories ⋮ Representations of weakly triangular categories

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