Results 71 to 80 of about 1,418 (162)

Affinization of Zinbiel bialgebras and pre-Poisson bialgebras, infinite-dimensional Poisson bialgebras

The purpose of this paper is to construct infinite-dimensional Poisson bialgebras by the affinization of pre-Poisson algebras. There is a natural Poisson algebra structure on the tensor product of a pre-Poisson algebra and a perm algebra, and the Poisson algebra structure on the tensor product of a pre-Poisson algebra and a special perm algebra ...
Guo, Yanhong, Hou, Bo
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A bialgebra axiom and the Dold-Kan correspondence [PDF]

, 2011
Boris Shoikhet
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Infinitesimal Hom-bialgebras and Hom-Lie bialgebras

, 2010
We study the Hom-type generalization of infinitesimal bialgebras, called infinitesimal Hom-bialgebras. In particular, we consider infinitesimal Hom-bialgebras arising from quivers, the sub-classes of coboundary and quasi-triangular infinitesimal Hom-bialgebras, the associative Hom-Yang-Baxter equation, and homological perturbation of the ...
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Infinite magmatic bialgebras

Advances in Applied Mathematics, 2008
An infinite magmatic bialgebra is a vector space endowed with an n-ary operation, and an n-ary cooperation, for each n, verifying some compatibility relations. We prove a rigidity theorem, analogue to the Hopf-Borel theorem for commutative bialgebras: any connected infinite magmatic bialgebra is of the form $Mag^\infty(Prim H)$, where $Mag^\infty(V ...
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PENTAGON EQUATION AND MATRIX BIALGEBRAS [PDF]

Communications in Algebra, 2001
We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case. We establish the relation between Hopf-Galois algebras and solutions to modified pentagon equation.
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Quantum BV-manifolds and quasi-Lie bialgebras [PDF]

, 2009
Johan Granåker
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WEAK BRAIDED BIALGEBRAS AND WEAK ENTWINING STRUCTURES [PDF]

, 2009
J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodrı́guez   +2 more
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Quasi-bialgebras from set-theoretic type solutions of the Yang–Baxter equation [PDF]

, 2022
Anastasia Doikou, Alexandros Ghionis, Bart Vlaar   +2 more
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A combinatorial PROP for bialgebras

European Journal of Combinatorics
30 pages, 5 ...
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On Poisson Conformal Bialgebras

Algebras and Representation Theory
30 ...
Yanyong Hong, Chengming Bai
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