Tokyo Journal of Mathematics

Courant Brackets on Noncommutative Algebras and Omni-Lie Algebras

Kyousuke UCHINO

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Abstract

We define a Courant bracket on an associative algebra using the theory of Hochschild homology, and we introduce the notion of Dirac algebra. We show that the bracket of an omni-Lie algebra is quite a kind of Courant bracket.

Article information

Source
Tokyo J. Math., Volume 30, Number 1 (2007), 239-255.

Dates
First available in Project Euclid: 20 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1184963659

Digital Object Identifier
doi:10.3836/tjm/1184963659

Mathematical Reviews number (MathSciNet)
MR2328066

Zentralblatt MATH identifier
1203.17001

Citation

UCHINO, Kyousuke. Courant Brackets on Noncommutative Algebras and Omni-Lie Algebras. Tokyo J. Math. 30 (2007), no. 1, 239--255. doi:10.3836/tjm/1184963659. https://projecteuclid.org/euclid.tjm/1184963659


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