Axiomatic framework for the BGG category O
Apoorva Khare
TL;DR
This paper introduces an axiomatic framework for understanding the BGG category O, aiming to unify and generalize its structure within representation theory.
Contribution
It proposes a new axiomatic approach that broadens the understanding of the BGG category O and its applications in representation theory.
Findings
Provides a new axiomatic foundation for category O
Unifies various existing results under a common framework
Generalizes previous theories to broader contexts
Abstract
This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra