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  Automorphisms of associative algebras and noncommutative geometry

Müller-Hoissen, F., & Dimakis, A. (2004). Automorphisms of associative algebras and noncommutative geometry. Journal of Physics A: Mathematical and General, 37, 2307-2330. doi:10.1088/0305-4470/37/6/023.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-1669-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-166A-4
Genre: Journal Article

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 Creators:
Müller-Hoissen, Folkert1, Author           
Dimakis, Aristophanes, Author
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 Abstract: A class of differential calculi is explored which is determined by a set of automorphisms of the underlying associative algebra. Several examples are presented. In particular, differential calculi on the quantum plane, the h-deformed plane and the quantum group GLp,q(2) are recovered in this way. Geometric structures like metrics and compatible linear connections are introduced.

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Language(s): eng - English
 Dates: 2004-01-28
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 224463
DOI: 10.1088/0305-4470/37/6/023
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Title: Journal of Physics A: Mathematical and General
  Alternative Title : J. Phys. A: Math. Gen.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 37 Sequence Number: - Start / End Page: 2307 - 2330 Identifier: -