An exact category approach to Hecke endomorphism algebras

DOI10.1090/pspum/108/01971MaRDI QIDQ6629981

Jie Du, Leonard L. Scott, Brian J. Parshall

Publication date: 30 October 2024

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Cites Work

• Stratifying endomorphism algebras using exact categories
• On the modular composition factors of the Steinberg representation
• Derived categories and Deligne-Lusztig varieties. II.
• Representations of Hecke algebras at roots of unity.
• Cells in affine Weyl groups. II
• Geometric Schur duality of classical type
• Extending Hecke endomorphism algebras
• On quotients of Hom-functors and representations of finite general linear groups. I
• Integral and graded quasi-hereditary algebras. I
• On the decomposition numbers of the finite unitary groups in non-defining characteristic
• Polynomial representations of \(GL_n\)
• On a theorem of Benson and Curtis
• Modular Harish-Chandra theory. I
• The red book of varieties and schemes
• Extensions of Chevalley groups
• Cohomology of finite groups of Lie type. I
• Stratifying endomorphism algebras associated to Hecke algebras
• On quotients of Hom-functors and representations of finite general linear groups. II
• Quantum Weyl reciprocity and tilting modules
• On Harish-Chandra induction and restriction for modules of Levi subgroups
• Hyperoctahedral Schur algebras
• Cells and \(q\)-Schur algebras
• Quantum symmetric pairs and their zonal spherical functions.
• Derived categories and Deligne-Lusztig varieties.
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Modular irreducibility of cuspidal unipotent characters
• Local and global methods in representations of Hecke algebras
• Chain complexes and stable categories
• Schur-Weyl reciprocity for Ariki-Koike algebras
• Modular Harish-Chandra theory. II
• Cellular algebras
• A new realisation of the \(\imath\)-quantum group \(\mathbf{U}^{\jmath}(N)\)
• The \(i\)-quantum group \(U^\imath(n)\)
• Based quasi-hereditary algebras
• Unitriangular shape of decomposition matrices of unipotent blocks
• A first guide to the character theory of finite groups of Lie type
• Hecke algebras of finite type are cellular.
• Categorical actions on unipotent representations of finite unitary groups
• On the Schur indices of characters of the exceptional Weyl groups
• Semisimple algebras over a commutative ring
• Exact categories
• Classical weight modules over \(\imath\)quantum groups
• Cellularity of endomorphism algebras of tilting objects
• \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B}
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Prime Power Representations of Finite Linear Groups II
• The Brauer Group of a Commutative Ring
• Modular principal series representations
• Canonical Bases Arising from Quantized Enveloping Algebras
• The q ‐Schur Algebra
• Representations of Hecke Algebras of General Linear Groups
• Brauer trees of hecke algebras
• Higher algebraic K-theory: I
• Projective Modules over Laurent Polynomial Rings
• Based algebras and standard bases for quasi-hereditary algebras
• Algèbres de Hecke comme algèbres symétriques et théorème de Dipper
• Exact categories and vector space categories
• Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
• Lusztig conjectures, old and new, I.
• Harish-Chandra Vertices and Steinberg's Tensor Product Theorems for Finite General Linear Groups
• The 𝑞-Schur² algebra
• Separable Algebras
• Every Semiprimary Ring is the Endomorphism Ring of a Projective Module Over a Quasi-Hereditary Ring
• Hecke Algebras with Unequal Parameters
• Specht Filtrations for Hecke Algebras of Type A
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Schur Algebras and Quantum Symmetric Pairs With Unequal Parameters
• THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE
• QUASI-SPLIT SYMMETRIC PAIRS OF AND THEIR SCHUR ALGEBRAS
• Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
• Remarks on modular representations of finite groups of Lie type in non-defining characteristic
• Endomorphisms of linear algebraic groups
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Stratifying endomorphism algebras
• Maximal Orders
• Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(r,1,n)\)
• 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
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An exact category approach to Hecke endomorphism algebras