Results 11 to 20 of about 1,412 (138)
Duality for exotic bialgebras [PDF]
Journal of Physics A: Mathematical and General, 2001 25 pages, LaTeX2e, using packages: cite, amsfonts, amsmath ...
Arnaudon, D. +3 more
core +6 more sources
Differential Antisymmetric Infinitesimal Bialgebras, Coherent Derivations and Poisson Bialgebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2023 We establish a bialgebra theory for differential algebras, called differential antisymmetric infinitesimal (ASI) bialgebras by generalizing the study of ASI bialgebras to the context of differential algebras, in which the derivations play an important role.
Lin, Yuanchang +2 more
openaire +3 more sources
3-Leibniz bialgebras (3-Lie bialgebras) [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 The aim of this paper is to extend the notion of Leibniz bialgebra (and Lie bialgebra) to [Formula: see text]-Leibniz bialgebra (and [Formula: see text]-Lie bialgebra) by use of the cohomology complex of [Formula: see text]-Leibniz algebras. Some theorems about Leibniz bialgebras are extended and proved in the case of [Formula: see text]-Leibniz ...
Rezaei-Aghdam, A., Sedghi-Ghadim, L.
openaire +3 more sources
Linear Compactness and Combinatorial Bialgebras [PDF]
The Electronic Journal of Combinatorics, 2021 We present an expository overview of the monoidal structures in the category of linearly compact vector spaces. Bimonoids in this category are the natural duals of infinite-dimensional bialgebras. We classify the relations on words whose equivalence classes generate linearly compact bialgebras under shifted shuffling and deconcatenation. We also extend
Marberg, Eric
openaire +5 more sources
On Poisson Conformal Bialgebras [PDF]
Algebras and Representation Theory30 ...
Yanyong Hong, Chengming Bai
core +4 more sources
A combinatorial PROP for bialgebras [PDF]
European Journal of Combinatorics30 pages, 5 ...
Becerra, Jorge
openaire +6 more sources
A triple construction for Lie bialgebras [PDF]
, 2005 We study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfel’d double. The triple is itself a quasitriangular Lie bialgebra.
Grabowski, Jan
core +5 more sources
Braided Lie bialgebras associated to Kac-Moody algebras [PDF]
, 2008 Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, JE, Grabowski, Jan
core +4 more sources
Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn +3 more
core +4 more sources
Algebraic theories of power operations
Journal of Topology, Volume 16, Issue 4, Page 1543-1640, December 2023., 2023 Abstract We develop and exposit some general algebra useful for working with certain algebraic structures that arise in stable homotopy theory, such as those encoding well‐behaved theories of power operations for E∞$\mathbb {E}_\infty$ ring spectra.
William Balderrama
wiley +1 more source