منابع مشابه
Double Cross Biproduct and Bicycle Bicrossproduct Lie Bialgebras
We construct double cross biproduct and bicycle bicrossproduct Lie bialgebras from braided Lie bialgebras. The main result generalizes Majid’s matched pair of Lie algebras, Drinfeld’s quantum double, and Masuoka’s cross product Lie bialgebras. 2000 Mathematics Subject Classification: 17B62, 18D35
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The goal of our work is to study the spaces of primitive elements of the Hopf algebras associated to the permutahedra and the associahedra. We introduce the notion of shuffle bialgebras, and compute the subpaces of primitive elements associated to these algebras. These spaces of primitive elements have natural structure of some type of algebras which we describe in terms of generators and relat...
متن کاملShuffle Bialgebras
The goal of our work is to study the spaces of primitive elements of the Hopf algebras associated to the permutaedra and the associaedra. We introduce the notion of shuffle and preshuffle bialgebras, and compute the subpaces of primitive elements associated to these algebras. These spaces of primitive elements are free objects for some types of algebras which we describe in terms of generators ...
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Structures of Lie algebras, Lie coalgebras, Lie bialgebras and Lie quasibialgebras are presented as solutions of Maurer-Cartan equations on corresponding governing differential graded Lie algebras using the big bracket construction of Kosmann-Schwarzbach. This approach provides a definition of an L∞-(quasi)bialgebra (strongly homotopy Lie (quasi)bialgebra). We recover an L∞-algebra structure as...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7896