Results 191 to 200 of about 3,875,166 (215)
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2021
Pre-Lie algebras, also called Vinberg algebras, have become an important tool in combinatorics, differential geometry, the theory of operads and in various application domains such as perturbative quantum field theory or numerical analysis, to quote only a few.
Pierre Cartier, Frédéric Patras
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Pre-Lie algebras, also called Vinberg algebras, have become an important tool in combinatorics, differential geometry, the theory of operads and in various application domains such as perturbative quantum field theory or numerical analysis, to quote only a few.
Pierre Cartier, Frédéric Patras
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Algebra Colloquium, 2017
In this paper, we find Hall-Shirshov type bases for free pre-Lie algebras. We show that Segal’s basis of a free pre-Lie algebra is a type of these bases. We give a nonassociative Gröbner-Shirshov basis S for a free pre-Lie algebra such that Irr(S) is a monomial basis (called normal words) of a free pre-Lie algebra, where Irr(S) is the set of all ...
Li, Yu, Mo, Qiuhui
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In this paper, we find Hall-Shirshov type bases for free pre-Lie algebras. We show that Segal’s basis of a free pre-Lie algebra is a type of these bases. We give a nonassociative Gröbner-Shirshov basis S for a free pre-Lie algebra such that Irr(S) is a monomial basis (called normal words) of a free pre-Lie algebra, where Irr(S) is the set of all ...
Li, Yu, Mo, Qiuhui
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Pre-Lie algebra characterization of SISO feedback invariants
53rd IEEE Conference on Decision and Control, 2014Transformation groups have been used extensively in system theory since its inception. Recently, a feedback transformation group for a nonlinear input-output system characterized by a Chen-Fliess functional expansion was described by the authors. In particular, an algorithm was given to identify a class of feedback invariant series.
W. Steven Gray +2 more
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Degenerations of Lie algebras and pre-Lie algebras
2011In dieser Arbeit beschÄftigen wir uns mit dem Orbitabschlussproblem fÜr Algebren in der Theorie der algebraischen Transformationsgruppen. Die allgemeine lineare Gruppe Gl(V) über einem Körper K operiert auf dem Vektorraum Alg(C), dem Raum aller K-Algebra-Strukturen, durch Basiswechsel.
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Journal of Geometry and Physics
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You Wang +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
You Wang +3 more
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On a Pre-Lie Algebra Defined by Insertion of Rooted Trees
Letters in Mathematical Physics, 2010A pre-Lie algebra is a vector space \(A\) with a binary operation \(*\) such that \(x*(y*z) - (x*y)*z = y*(x*z) - (y*x)*z\) for all \(x,y,z\) in \(A\). The free pre-Lie algebra with one generator is isomorphic to the vector space \(\mathcal T\) spanned by the rooted trees, endowed with the grafting Lie product [\textit{F.
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Cohomologies of Nijenhuis Pre-Lie Algebras and Applications
Communications in AlgebraDingguo Wang, Shuangjian Guo
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3-Bihom-ρ-Lie Algebras, 3-Pre-Bihom-ρ-Lie Algebras
Chinese Annals of Mathematics Series B, 2023Esmaeil Peyghan, Zahra Bagheri
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