Study of a $\mathbf Z$-form of the coordinate ring of a reductive group

DOI10.1090/S0894-0347-08-00603-6zbMath1236.20051arXiv0709.1286MaRDI QIDQ3079210

George Lusztig

Publication date: 2 March 2011

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

Full work available at URL: https://arxiv.org/abs/0709.1286

zbMATH Keywords

braid groupsquantum groupsChevalley groupsquantized enveloping algebrascoordinate ringscanonical basesconnected semisimple algebraic groupsKostant \(\mathbb{Z}\)-form

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Linear algebraic groups over arbitrary fields (20G15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Quantum groups (quantized function algebras) and their representations (20G42)

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Cites Work

• Sur certains groupes simples
• Introduction to quantum groups
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