A few comments on Ado's theorem and non-linear Lie groups

DOI10.1007/s00006-018-0871-xzbMath1425.22006OpenAlexW2806975414WikidataQ115390460 ScholiaQ115390460MaRDI QIDQ1668587

Pierre Anglès

Publication date: 29 August 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0871-x

zbMATH Keywords

Heisenberg groupLie groupsLie algebrasAdo's theoremlinear Lie groupsnonlinear Lie groups

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Clifford algebras, spinors (15A66) General properties and structure of real Lie groups (22E15) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Quadratic spaces; Clifford algebras (11E88)

Cites Work

• About a theorem of Hyman Bass and some other topics
• Structure and Geometry of Lie Groups
• Lie groups as spin groups
• Lie Groups, Lie Algebras, and Representations
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