Generalized nil-Coxeter algebras

zbMath1465.20003arXiv1802.07015MaRDI QIDQ2632670

Apoorva Khare

Publication date: 15 May 2019

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07015

zbMATH Keywords

Coxeter grouplength functioncomplex reflection groupFrobenius algebrageneralized nil-Coxeter algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Associative rings and algebras arising under various constructions (16S99)

Cites Work

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• The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\).
• On the classification of finite-dimensional pointed Hopf algebras.
• Schubert polynomials and the nilCoxeter algebra
• Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer)
• The classification of Nichols algebras over groups with finite root system of rank two
• NILCOXETER ALGEBRAS CATEGORIFY THE WEYL ALGEBRA
• Pieri operators on the affine nilCoxeter algebra
• A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions
• Generalized nil-Coxeter algebras over discrete complex reflection groups
• The nil Hecke ring and cohomology of G/P for a Kac-Moody group G
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• Finite Unitary Reflection Groups

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