Abstract Kazhdan-Lusztig theories
From MaRDI portal
Publication:1319194
DOI10.2748/tmj/1178225846zbMath0801.20013OpenAlexW2119895559MaRDI QIDQ1319194
Leonard L. Scott, Edward Cline, Brian J. Parshall
Publication date: 4 December 1994
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178225846
Lusztig conjectureKazhdan-Lusztig polynomialhighest weight categories\(p\)- regular dominant weights\(p\)-alcovesYoneda Ext group
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)
Related Items
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫), On modules arising from quantum groups at \(p^r\)-th roots of unity, Reduced standard modules and cohomology, Highest weight theory for finite-dimensional graded algebras with triangular decomposition, Row and column removal theorems for homomorphisms of Specht modules and Weyl modules., Parity sheaves, Twisting functors on 𝒪, Bernstein-Gelfand-Gelfand resolutions and the constructible \(t\)-structure, On homological properties of strict polynomial functors of degree \(p\), Bounding Ext for modules for algebraic groups, finite groups and quantum groups., Super duality and irreducible characters of ortho-symplectic Lie superalgebras, On minimal tilting complexes in highest weight categories, Injective and tilting resolutions and a Kazhdan-Lusztig theory for the general linear and symplectic group, Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves, Homological invariants in category $\mathcal {O}$ for the general linear superalgebra, Koszul Duality Patterns in Representation Theory, Unnamed Item, Super duality and Kazhdan-Lusztig polynomials, Strong exact Borel subalgebras of quasi-hereditary algebras and abstract Kazhdan-Lusztig theory, Some Weyl modules and cohomology for algebraic groups, On the finite generation of relative cohomology for Lie superalgebras, A new approach to the Koszul property in representation theory using graded subalgebras, Extensions, Levi subgroups and character formulas., The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials, Cohomological growth rates and Kazhdan-Lusztig polynomials., On p -filtrations of Weyl modules, Cohomology in singular blocks for a quantum group at a root of unity, The primitive spectrum of a basic classical Lie superalgebra, \(\text{Ext}^1\)-quivers for the Witt algebra \(W(1,1)\), Submodule structure of some Weyl modules and the cohomology for SO2l(K), Highest weight modules for algebraic groups arising from quantum groups, Semistandard filtrations in highest weight categories., Projective modules over classical Lie algebras of infinite rank in the parabolic category, Character formulas and Bernstein–Gelfand–Gelfand resolutions for Cherednik algebra modules, The 𝑞-Schur² algebra, Shifted generic cohomology, Some new examples in 1-cohomology, Extensions for finite Chevalley groups II
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral and graded quasi-hereditary algebras. I
- An inversion formula for the Kazhdan-Lusztig polynomials for affine Weyl groups
- On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
- Hecke algebras and Jantzen's generic decomposition patterns
- Representations of real reductive Lie groups
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- Category of \(\mathfrak g\) modules
- Irreducible characters of semisimple Lie groups. I
- \(\mathfrak n\)-cohomology of simple highest weight modules on walls and purity
- Proof of the Kazhdan-Lusztig conjecture for Kac-Moody algebras (The characters \(chL_{\omega\rho-\rho)}\)
- Representations of quantum algebras
- Filtrations of cohomology modules for Chevalley groups
- The socle filtration of a Verma module
- The strong linkage principle.
- Towards the Kazhdan-Lusztig conjecture
- Representations of quantum algebras. The mixed case.
- Quantum linear groups