On the construction of semisimple Lie algebras and Chevalley groups

DOI10.1090/proc/13600zbMath1419.17018arXiv1602.04583OpenAlexW2963906027WikidataQ115290810 ScholiaQ115290810MaRDI QIDQ5270127

Meinolf Geck

Publication date: 22 June 2017

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

Full work available at URL: https://arxiv.org/abs/1602.04583

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22)

Related Items (7)

Computing Green functions in small characteristic ⋮ Minuscule weights and Chevalley groups ⋮ Generalised Gelfand-Graev representations in bad characteristic ? ⋮ ChevLie: constructing Lie algebras and Chevalley groups ⋮ $E_8$, the most exceptional group ⋮ On the values of unipotent characters in bad characteristic ⋮ On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type \(G_2, F_4\), and \(E_6\)

Cites Work

• The canonical basis of the quantum adjoint representation
• Quantum groups at roots of 1
• On quantum groups
• Hall polynomials for the representation-finite hereditary algebras
• Root categories and simple Lie algebras
• Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
• Sur certains groupes simples
• Study of a $\mathbf Z$-form of the coordinate ring of a reductive group
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• The infinitesimal cone of a totally positive semigroup
• Introduction to quantum groups
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