Results 71 to 80 of about 1,412 (138)
Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras
There is a Lie algebra structure on the tensor product of a Leibniz algebra and a Zinbiel algebra for the operads of Leibniz algebras and Zinbiel algebras are Koszul dual. In this paper, we extend such conclusion to the context of bialgebras. We show that there is a Lie bialgebra structure on the tensor product of a Leibniz bialgebra and a quadratic ...
Hou, Bo, Lin, Yuanchang
openaire +2 more sources
Atiyah classes of three-dimensional Lie bialgebras over Z_3
四川大学学报. 自然科学版, 2019 Based on the theory of Lie algebra cohomology and the definition of the Atiyah class of a Lie bialgebra, Atiyah classes of all three-dimensional Lie bialgebras over Z_3 are calculated.
SHEN Dan-Dan
doaj
Partial magmatic bialgebras [PDF]
Homology, Homotopy and Applications, 2008 A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are subsets of the set of positive integers, is a vector space endowed with an n-ary operation for each n in S and an m-ary co-operation for each m in T satisfying some compatibility and unitary relations.
Burgunder, Emily, Holtkamp, Ralf
openaire +5 more sources
Small bialgebras with a projection
Journal of Algebra, 2007 Let \(A\) be a bialgebra over a field \(K\) of characteristic zero, \(H\) a subbialgebra with antipode, such that there is a coalgebra projection \(p\) of \(A\) onto \(H\). Let \(R\) be the \(H\)-coinvariant part of \(A\), i.e., the elements \(a\) in \(A\) so that \(\sum a_1\otimes p(a_2)=a\otimes 1\). The authors determine the structure of \(A\) when \
ARDIZZONI, Alessandro +2 more
openaire +2 more sources
Multiplier Infinitesimal Bialgebras and Derivator Lie Bialgebras
, 2011 11 ...
Arango, Jesus Alonso Ochoa +2 more
openaire +2 more sources
Quantization of Γ-Lie bialgebras [PDF]
, 2008 We introduce the notion of Γ-Lie bialgebras, where Γ is a group. These objects give rise to cocommutative co-Poisson bialgebras, for which we construct quantization functors.
Halbout, Gilles, Enriquez, Benjamin
core +1 more source
Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures
MathematicsThe main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals 0.
Taoufik Chtioui +2 more
doaj +1 more source
Braided anti-flexible bialgebras [PDF]
, 2022 We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve the extending problem for anti-flexible bialgebras by using some non-abelian cohomology theory.Comment:
Yao, Hui-Jun, Zhang, Tao
core +1 more source
پژوهشهای ریاضی, 2020 Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj
Transactions of the American Mathematical Society, 2015 A non-unital generalization of weak bialgebra is proposed with a multiplier-valued comultiplication. Certain canonical subalgebras of the multiplier algebra (named the ‘base algebras’) are shown to carry coseparable co-Frobenius coalgebra structures.
Böhm, Gabriella Eszter +2 more
openaire +3 more sources