Functoriality of the BGG Category 𝒪††

DOI10.1080/00927870902829098zbMath1187.16003arXiv0811.2073OpenAlexW3121761727MaRDI QIDQ3656752

Apoorva Khare

Publication date: 14 January 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2073

zbMATH Keywords

projective modulescategory \(\mathcal O\)block decompositionsskew group ringshighest weight categoriesBGG reciprocity

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Module categories in associative algebras (16D90) Twisted and skew group rings, crossed products (16S35)

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Cites Work

• Continuous Hecke algebras.
• Quantized symplectic oscillator algebras of rank one
• Braided doubles and rational Cherednik algebras.
• Polynomial functors and wreath products
• Category of \(\mathfrak g\) modules
• Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra.
• Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩₂
• Invariants of Finite Groups Generated by Reflections
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