Some homological properties of the category \(\mathcal O\).
From MaRDI portal
Publication:953000
DOI10.2140/pjm.2007.232.313zbMath1200.16012arXivmath/0607589OpenAlexW2058169770MaRDI QIDQ953000
Publication date: 14 November 2008
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607589
projective dimensionVerma modulescategory \(\mathcal O\)Koszul modulesBernstein-Gelfand-Gelfand categories
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological methods in Lie (super)algebras (17B55) Homological dimension in associative algebras (16E10)
Related Items
Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\), Dualities and derived equivalences for category \(\mathcal{O}\), Intersecting principal Bruhat ideals and grades of simple modules, Bott-Borel-Weil theory and Bernstein-Gel'fand-Gel'fand reciprocity for Lie superalgebras, The 2-braid group and Garside normal form, Some homological properties of category \(\mathcal{O}\). IV, Modular perverse sheaves on flag varieties III: Positivity conditions, On first extensions in \(\mathcal{S}\)-subcategories of \(\mathcal{O}\), Twisted sequences of extensions, Homological invariants in category $\mathcal {O}$ for the general linear superalgebra, Unnamed Item, Quasi-hereditary algebras and generalized Koszul duality., Some homological properties of category \(\mathcal{O}\). VI, Some homological properties of the category 𝒪, II, Categorification of (induced) cell modules and the rough structure of generalised Verma modules, Bigrassmannian permutations and Verma modules, Some homological properties of category \(\mathcal{O}\). III, A generalized Koszul theory and its relation to the classical theory., Projective modules over classical Lie algebras of infinite rank in the parabolic category, Extension Algebras of Standard Modules, SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS
