A new approach to the Koszul property in representation theory using graded subalgebras
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Publication:4899957
DOI10.1017/S1474748012000679zbMath1271.17013arXiv0910.0633OpenAlexW2962975666MaRDI QIDQ4899957
Leonard L. Scott, Brian J. Parshall
Publication date: 10 January 2013
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.0633
Weyl moduleKoszul algebraalgebraic groupquantum enveloping algebraquasi-hereditary algebra\(q\)-Schur algebra
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological methods in Lie (super)algebras (17B55) Quadratic and Koszul algebras (16S37) Schur and (q)-Schur algebras (20G43)
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On p -filtrations of Weyl modules, Cohomology in singular blocks for a quantum group at a root of unity, Light leaves and Lusztig's conjecture
Cites Work
- Unnamed Item
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- Quantum groups at roots of 1
- Integral and graded quasi-hereditary algebras. I
- Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
- Koszul duality and modular representations of semisimple Lie algebras
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
- On Schur algebras and related algebras. I
- Kazhdan-Lusztig conjecture and holonomic systems
- Graded Artin algebras
- Extensions between simple modules for Frobenius kernels
- The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
- Quantum Weyl reciprocity and tilting modules
- Abstract Kazhdan-Lusztig theories
- Kazhdan-Lusztig conjecture for affine Lie algebras with negative level
- On Ext-transfer for algebraic groups.
- Representations of quantum algebras
- Koszul duality for stratified algebras. I: Balanced quasi-hereditary algebras.
- SOME Z/2-GRADED REPRESENTATION THEORY
- The q ‐Schur Algebra
- Injective Modules for Quantum Algebras
- The Homological Dual of a Highest Weight Category
- Quantum groups at roots of ±1
- The Decomposition Matrices of GL n (q ) for n ⩽ 10
- Loewy Series of Modules for the First Frobenius Kernel in a Reductive Algebraic Group
- Quantum groups, the loop Grassmannian, and the Springer resolution
- KOSZUL ALGEBRAS AND THE FROBENIUS AUTOMORPHISM
- Koszul Duality Patterns in Representation Theory
