Displaying similar documents to “A new approach to antisymmetric infinitesimal bialgebras”

A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras

Huibin Chen, Shaoqiang Deng (2018)

Czechoslovak Mathematical Journal

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We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a complete classification of them, among which there are some non-associative examples. This method leads to several new examples which have not been described in the literature.

Deformation coproducts and differential maps

R. L. Hudson, S. Pulmannová (2008)

Studia Mathematica

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Let 𝒯 be the Itô Hopf algebra over an associative algebra 𝓛 into which the universal enveloping algebra 𝓤 of the commutator Lie algebra 𝓛 is embedded as the subalgebra of symmetric tensors. We show that there is a one-to-one correspondence between deformations Δ[h] of the coproduct in 𝒯 and pairs (d⃗[h],d⃖[h]) of right and left differential maps which are deformations of the differential maps for 𝒯 [Hudson and Pulmannová, J. Math. Phys. 45 (2004)]. Corresponding to the multiplicativity...

Enclosing solutions of second order equations

Gerd Herzog, Roland Lemmert (2005)

Annales Polonici Mathematici

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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.

Symmetric algebras and Yang-Baxter equation

Beidar, K., Fong, Y., Stolin, A.

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Let U be an open subset of the complex plane, and let L denote a finite-dimensional complex simple Lie algebra. and investigated non-degenerate meromorphic functions from U × U into L ⊗ L which are solutions of the classical Yang-Baxter equation [Funct. Anal. Appl. 16, 159-180 (1983; Zbl 0504.22016)]. They found that (up to equivalence) the solutions depend only on the difference of the two variables and that their set of poles forms a discrete (additive) subgroup Γ of the complex numbers...

Noncommutative independence in the infinite braid and symmetric group

Rolf Gohm, Claus Köstler (2011)

Banach Center Publications

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This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows us to derive factorization properties from symmetries. We explain some of the main ideas of this approach and work out a constructive procedure to use in applications. Finally we illustrate the method by applying it to the theory of group characters.