Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property
DOI10.1090/conm/688/13832zbMath1370.16023arXiv1601.04775OpenAlexW2408475334MaRDI QIDQ5351695
Publication date: 30 August 2017
Published in: Groups, Rings, Group Rings, and Hopf Algebras (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.04775
Jacobi identityCoxeter groupgraded deformationsymplectic reflectionPBW theoremgeneralized nil-Coxeter algebracocommutative algebra
Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35) Smash products of general Hopf actions (16S40) Coalgebras and comodules; corings (16T15)
Related Items (2)
Cites Work
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- Poincaré-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras
- 0-Hecke algebras of finite Coxeter groups.
- On maximal primitive quotients of infinitesimal Cherednik algebras of \(\mathfrak{gl}_n\)
- Continuous Hecke algebras.
- Modules of the 0-Hecke algebra and quasisymmetric Schur functions
- Nil-Coxeter algebras and nil-Ariki-Koike algebras.
- Braided doubles and rational Cherednik algebras.
- Hecke group algebras as quotients of affine Hecke algebras at level 0.
- Degenerate affine Hecke algebras and Yangians
- The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
- The diamond lemma for ring theory
- Schubert polynomials and the nilCoxeter algebra
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- PBW deformations of braided products
- Drinfeld orbifold algebras.
- Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra.
- Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
- Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
- Noncommutative deformations of Kleinian singularities
- Infinitesimal Cherednik algebras as \(W\)-algebras
- Infinitesimal Hecke algebras of \(\mathfrak{so}_N\)
- A subalgebra of 0-Hecke algebra.
- PBW deformations of skew group algebras in positive characteristic.
- On fusion categories.
- PBW deformations of Koszul algebras over a nonsemisimple ring.
- NILCOXETER ALGEBRAS CATEGORIFY THE WEYL ALGEBRA
- A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions
- Affine Hecke Algebras and Their Graded Version
- A diagrammatic approach to categorification of quantum groups I
- Towards a combinatorial representation theory for the rational Cherednik algebra of type G(r, p, n)
- SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
- Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩2
- Finite Unitary Reflection Groups
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