McKay quivers and Lusztig algebras of some finite groups

DOI10.1007/s10468-021-10099-xOpenAlexW3206727179MaRDI QIDQ2699446

Yanyan Li

Publication date: 26 April 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06674

zbMATH Keywords

Clifford theoryKoszul algebrasYoung diagramsskew group ringscomplex reflection groupsMcKay quiver

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Twisted and skew group rings, crossed products (16S35) Quadratic and Koszul algebras (16S37) Cluster algebras (13F60)

Related Items

Non-commutative resolutions for the discriminant of the complex reflection group \(G(m, p,2)\)

Cites Work

• 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
• Generalized McKay quivers of rank three
• Superpotentials, Calabi-Yau algebras, and PBW deformations.
• Bell numbers, partition moves and the eigenvalues of the random-to-top shuffle in Dynkin types A, B and D
• Cluster tilting for higher Auslander algebras.
• Exterior algebra structure on relative invariants of reflection groups
• Superpotentials and higher order derivations.
• On the eigenvalues of representations of reflection groups and wreath products
• Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. I
• Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. III
• On quiver varieties
• Higher Specht polynomials for the complex reflection group \(G(r,p,n)\)
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• The finite irreducible linear groups with polynomial ring of invariants
• Projective algebras, differential operators and a Conze embedding for deformations of Kleinian singularities
• A McKay correspondence for reflection groups
• Preprojective algebra structure on skew-group algebras
• Noncommutative (crepant) desingularizations and the global spectrum of commutative rings
• Moduli of McKay quiver representations. II: Gröbner basis techniques
• Colored-descent representations of complex reflection groups \(G(r,p,n)\).
• Combinatorial operators for Kronecker powers of representations of \(\mathfrak S_n\).
• Introduction to complex reflection groups and their braid groups.
• On Chevalley–Shephard–Todd’s Theorem in Positive Characteristic
• Construction géométrique de la correspondance de McKay
• McKay Quivers and Extended Dynkin Diagrams
• Rational Singularities and Almost Split Sequences
• Two-dimensional tame and maximal orders of finite representation type
• Finite complex reflection groups
• ALGEBRA PAIRS ASSOCIATED TO McKAY QUIVERS
• Noncommutative resolutions of discriminants
• Koszul Duality Patterns in Representation Theory
• Stable categories of Cohen-Macaulay modules and cluster categories: Dedicated to Ragnar-Olaf Buchweitz on the occasion of his sixtieth birthday
• A Note on Theorems of Burnside and Blichfeldt
• Finite Unitary Reflection Groups
• A category for the adjoint representation