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Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory
MathematicsA left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of
Guilai Liu
exaly +5 more sources
3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras
Mathematics, 2022 In this paper, we first introduce the notion of a 3-Hom–Lie bialgebra and give an equivalent description of the 3-Hom–Lie bialgebras, the matched pairs and the Manin triples of 3-Hom–Lie algebras.
Shuangjian Guo +2 more
doaj +1 more source
The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras
Mathematics, 2022 In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo +2 more
doaj +1 more source
Dirac generating operators and Manin triples [PDF]
Journal of the London Mathematical Society, 2009 26 pages, introduction rewritten, minor ...
Chen, Zhuo, Stienon, Mathieu
openaire +2 more sources
Manin triples for Lie bialgebroids
Journal of Differential Geometry, 1997 24 pages, LaTeX2e (minor corrections, added section at end), final version of paper to appear in J.
Liu, Zhang-Ju, Weinstein, Alan, Xu, Ping
openaire +4 more sources
Bialgebras, the Yang–Baxter equation and Manin triples for mock-Lie algebras
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2023 The aim of this paper is to introduce the notion of a mock-Lie bialgebra which is equivalent to a Manin triple of mock-Lie algebras. The study of a special case called coboundary mock-Lie bialgebra leads to introducing the mock-Lie Yang–Baxter equation on a mock-Lie algebra which is an analogue of the classical Yang–Baxter equation on a Lie algebra ...
Taoufik Chtioui +3 more
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Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1268-1337, November 2023., 2023 Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
wiley +1 more source
Multiplication polynomials and relative Manin-Mumford [PDF]
, 2015 After the introduction we prove in chapter 2 that the resultant of the standard multiplication polynomials $A_n,B_n$ of an elliptic curve in the form $y^2 = x^3+ax+b$ is $(16\Delta)^{{n^2(n^2-1) \over 6}}$, where $\Delta=-(4a^3+27b^2)$ is the ...
Schmidt, Harry
core +1 more source
Triple F Utvecklingsplan : Version 1
, 2021 Triple F (Fossil Free Freight) är ett nationellt forsknings- och innovationsprogram med syfte att utveckla kunskap som kan bidra till att minska godstransporternas växthusgasutsläpp i Sverige. Programmet finansieras av Trafikverket.
Blidberg, Nicklas +2 more
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