Results 131 to 140 of about 1,418 (162)

Coalgebras and Bialgebras in Combinatorics

Studies in Applied Mathematics, 1979
The following material is discussed in this paper: Incidence Coalgebras for PO sets; Reduced Boolean Coalgebras; Divided Powers Coalgebra; Dirichlet Coalgebra; Eulerian Coalgebra; Faà di Bruno Bialgebra; Incidence Coalgebras for Categories; The Umbral Calculus; Infinitesimal Coalgebras; Creation and Annihilation Operators; Point Lattice Coalgebras ...
Joni, S. A., Rota, G.-C.
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Contractions of bialgebras and super-bialgebras

Czechoslovak Journal of Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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BIALGEBRAS AND CATERPILLARS

The Quarterly Journal of Mathematics, 2007
Summary: We describe a double construction, which associates a symmetric associative algebra to a bialgebra. We show how a block of a finite group with cyclic defect can be realised via this double construction, after a felicitous choice of bialgebra.
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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
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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
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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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Construction and Characterization of n-Ary Hom-Bialgebras and n-Ary Infinitesimal Hom-Bialgebras

Springer Proceedings in Mathematics and Statistics, 2023
Mahouton Norbert Hounkonnou, Sami Mabrouk, Sergei Silvestrov   +2 more
exaly