Results 111 to 120 of about 145 (139)

The shuffle bialgebra

1988
The shuffle multiplication and the cut comultiplication, a generalized car-cdr pairing, form a bialgebra. The concatenation multiplication, sometimes called tensor product, and the spray comultiplication form another bialgebra. The concatenation-spray bialgebras are the free bialgebras in the category of precise, graded bialgebras over a semiadditive ...
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Jordan bialgebras and their relation to Lie bialgebras

Algebra and Logic, 1997
We develop the notion of Jordan bialgebras and study the way in which such are related to Lie bialgebras. In particular, it is shown that if a Lie algebra L(J) obtained from a Jordan algebra J by applying the Kantor-Koecher-Tits construction admits the structure of a Lie bialgebra, under some natural constraints, then, J permits the structure of a ...
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The Variety of Lie Bialgebras

Journal of Lie Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CICCOLI, Nicola, GUERRA, Lucio
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Jordan bialgebras of symmetric elements and Lie bialgebras

Siberian Mathematical Journal, 1998
In his previous article [|Algebra Logic 36, No. 1, 1-15 (1997); translation from Algebra Logika 36, No. 1, 3-25 (1997)], the author proved that if the Lie algebra \(L(J)\) built from a Jordan algebra \(J\) by the Kantor-Köcher-Tits construction admits the structure of a Lie bialgebra then, under certain natural restrictions, \(J\) admits the structure ...
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On Hom-Prealternative Bialgebras

Algebras and Representation Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Novikov Poisson bialgebra

Journal of Geometry and Physics
In this paper, the bialgebra theory for Novikov-Poisson algebras has been developed and the equivalence between matched pairs, Manin triples and Novikov-Poisson bialgebras established. The obtained results are completely similar to [\textit{Q. Sun} et al., Commun. Algebra 53, No. 5, 2049--2065 (2025; Zbl 08015019)].
Bei Li, Dingguo Wang
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Classification of classical twists of the standard Lie bialgebra structure on a loop algebra

Journal of Geometry and Physics, 2021
Stepán Maximov, Raschid Abedin
exaly  

C∗-bialgebra defined by the direct sum of Cuntz algebras

Journal of Algebra, 2008
Kawamura Katsunori
exaly  

C∗-Bialgebra Defined as the Direct Sum of Cuntz–Krieger Algebras

Communications in Algebra, 2009
Kawamura Katsunori
exaly  

Weak Hopf algebras with projection and weak smash bialgebra structures

Journal of Algebra, 2003
J N Alonso Alvarez, J M Fernández Vilaboa   +1 more
exaly