Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions
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Publication:2475073
DOI10.1016/j.jalgebra.2007.10.026zbMath1168.17007arXivmath/0607170OpenAlexW2103587119MaRDI QIDQ2475073
Catharina Stroppel, Kenneth A. Brown, Iain C.Gordon
Publication date: 10 March 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607170
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Associative rings and algebras arising under various constructions (16S99)
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Cites Work
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- Quantum groups at roots of 1
- Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
- On a theorem of Pittie
- Rings with Auslander dualizing complexes
- Primitive ideals of \({\mathbf C}_ q[SL(3)\)]
- Quantum function algebra at roots of 1
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
- Classification of graded Hecke algebras for complex reflection groups.
- Lectures on algebraic quantum groups
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- Affine Hecke algebras and the Schubert calculus
- The Jones polynomial and certain separable Frobenius extensions
- On symmetric, smooth and Calabi-Yau algebras.
- Dualitätseigenschaften von Frobenius-Erweiterungen
- Einige Bemerkungen über Frobenius-Erweiterungen
- The Ramifications of the Centres: Quantised Function Algebras at Roots of Unity
- Affine Hecke Algebras and Their Graded Version
- Commutative Algebras and Cohomology
- On the Deformation of Algebra Morphisms and Diagrams
- Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
- Infinite Crossed Products and Group-Graded Rings
- Modular Representation Theory of Lie Algebras
- On the Theory of Frobenius Extensions and its Application to Lie Superalgebras
- Poisson orders, symplectic reflection algebras and representation theory
- BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS
- Dualizing Complexes, Morita Equivalence and the Derived Picard Group of a Ring
- COMPOSITION FACTORS OF QUOTIENTS OF THE UNIVERSAL ENVELOPING ALGEBRA BY PRIMITIVE IDEALS
- FROBENIUS FUNCTORS OF THE SECOND KIND
- On Frobenius Extensions I.
- Reflection groups and invariant theory