Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras

Tao Zhang

doi:10.4303/jglta/S090602

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Home > Journals > J. Gen. Lie Theory Appl. > Volume 4 > Article

2010 Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras

Tao Zhang

J. Gen. Lie Theory Appl. 4: 1-16 (2010). DOI: 10.4303/jglta/S090602

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Abstract

We construct double cross biproduct and bi-cycle bicrossproduct Lie bialgebras from braided Lie bialgebras. The main results generalize Majid's matched pair of Lie algebras and Drinfeld's quantum double and Masuoka's cross product Lie bialgebras.

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Tao Zhang. "Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras." J. Gen. Lie Theory Appl. 4 1 - 16, 2010. https://doi.org/10.4303/jglta/S090602

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Published: 2010

First available in Project Euclid: 6 August 2010

zbMATH: 1203.17011

MathSciNet: MR2645323

Digital Object Identifier: 10.4303/jglta/S090602

Subjects:

Primary: 17B62

Secondary: 18D35

Keywords: category theory , Lie algebras , Lie bialgebras , Lie coalgebras , Lie superalgebras , Nonassociative algebras , Nonassociative rings

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Vol.4 • 2010

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Tao Zhang "Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras," Journal of Generalized Lie Theory and Applications, J. Gen. Lie Theory Appl. 4(none), 1-16, (2010)

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