Results 111 to 120 of about 1,412 (138)
Some of the next articles are maybe not open access.
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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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, 1997We 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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Journal of Lie Theory, 2003
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CICCOLI, Nicola, GUERRA, Lucio
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CICCOLI, Nicola, GUERRA, Lucio
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Jordan bialgebras of symmetric elements and Lie bialgebras
Siberian Mathematical Journal, 1998In 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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Coalgebras and Bialgebras in Combinatorics
Studies in Applied Mathematics, 1979The 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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On Hom-Prealternative Bialgebras
Algebras and Representation Theory, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Affinization of Alia bialgebras and Lie bialgebras
Journal of Geometry and PhysicsYanhong Guo, Bo Hou
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Lie Bialgebras of Generalized WITT Type, II
Communications in Algebra, 2007Yucai Su, Guang'Ai Song
exaly
Lie bialgebras of generalized Witt type
Science in China Series A: Mathematics, 2006Yucai Su, Guang'Ai Song
exaly