Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35)

Cites Work

Discriminant formulas and applications
The discriminant controls automorphism groups of noncommutative algebras.
Some remarks on Koszul algebras and quantum groups
Hochschild cohomology and quantum Drinfeld Hecke algebras
Algebraic properties of Manin matrices. I
Cuspidal local systems and graded Hecke algebras. I
Shephard-Todd-Chevalley theorem for skew polynomial rings.
Quantum polynomial algebras
On the trace of graded automorphisms
Classification of graded Hecke algebras for complex reflection groups.
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
Discriminants and automorphism groups of Veronese subrings of skew polynomial rings
Determinants of matrices over noncommutative rings
Deformations of quantum symmetric algebras extended by groups.
Gorensteinness of invariant subrings of quantum algebras
Noncommutative deformations of Kleinian singularities
Noncommutative Dunkl operators and braided Cherednik algebras.
Mystic reflection groups.
Automorphisms and isomorphisms of quantum generalized Weyl algebras.
PBW deformations of quantum symmetric algebras and their group extensions.
Quantum Drinfeld Hecke Algebras
Hochschild cohomology of group extensions of quantum symmetric algebras
Affine Hecke Algebras and Their Graded Version
Hochschild cohomology and graded Hecke algebras
Derivations et automorphismes de quelques algebras quantiques
Noncommutative Auslander theorem
Quantum Drinfeld Orbifold Algebras
Rigidité des plongements des quotients primitifs minimaux de U_g(sl(2)) dans l’algebre quantique de Weyl-Hayashi
Finite Unitary Reflection Groups
Homological properties of quantum polynomials

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