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  On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras

Nirov, K. S., & Razumov, A. V. (2006). On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras. Communications in Mathematical Physics, 267(3), 587-610.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4AF9-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4AFA-9
Genre: Journal Article

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 Creators:
Nirov, K. S.1, Author
Razumov, A. V., Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We define the twisted loop Lie algebra of a finite dimensional Lie algebra g as the Fréchet space of all twisted periodic smooth mappings from R to g. Here the Lie algebra operation is continuous. We call such Lie algebras Fréchet Lie algebras. We introduce the notion of an integrable Z-gradation of a Fréchet Lie algebra, and find all inequivalent integrable Z-gradations with finite dimensional grading subspaces of twisted loop Lie algebras of complex simple Lie algebras.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Issued
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 Identifiers: eDoc: 207107
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 267 (3) Sequence Number: - Start / End Page: 587 - 610 Identifier: -