Book Review: Finite dimensional algebras and quantum groups

DOI10.1090/S0273-0979-10-01293-0zbMath1292.00016MaRDI QIDQ5494763

Jonathan Brundan

Publication date: 29 July 2014

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representations of quivers and partially ordered sets (16G20) Simple, semisimple, reductive (super)algebras (17B20) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) External book reviews (00A17) Hopf algebras and their applications (16T05) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Cites Work

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• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Hall algebras and quantum groups
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Canonical bases and KLR-algebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• A diagrammatic approach to categorification of quantum groups I
• Hecke Algebras with Unequal Parameters
• Introduction to quantum groups

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