Graded extensions of Verma modules

DOI10.1017/s0305004124000239MaRDI QIDQ6652490

Hankyung Ko, Volodymyr Mazorchuk

Publication date: 12 December 2024

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Homological methods in Lie (super)algebras (17B55) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

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• Applications of the category of linear complexes of tilting modules associated with the category \(\mathcal O\)
• Some homological properties of the category \(\mathcal O\).
• Koszul duality for extension algebras of standard modules.
• Representations of Coxeter groups and Hecke algebras
• On Arkhipov's and Enright's functors.
• The \(\Delta\)-filtered modules without self-extensions for the Auslander algebra of \(k[T/\langle T^n\rangle\)]
• Bigrassmannian permutations and Verma modules
• Tilting modules and exceptional sequences for leaf quotients of type \(A\) zig-zag algebras
• Combinatorics of Coxeter Groups
• Quadratic duals, Koszul dual functors, and applications
• Extensions of Verma Modules
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Towards the Kazhdan-Lusztig conjecture
• Character formulas for tilting modules over Kac-Moody algebras
• Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Category 𝒪: Quivers and endomorphism rings of projectives
• Twisting functors on 𝒪
• Koszul Duality Patterns in Representation Theory
• Twisted sequences of extensions
• First extension groups of Verma modules and $R$-polynomials
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN

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