Double cross biproduct and bi-cycle bicrossproduct Lie bialgebras

Research Article

Generalized Lie Theory and Applications

Tao ZHANG

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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