Results 21 to 30 of about 27,600 (150)
Frobenius groups of automorphisms and their fixed points [PDF]
, 2010 Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
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Geometric construction of D-branes in WZW models [PDF]
, 2011 The geometric description of D-branes in WZW models is pushed forward. Our starting point is a gluing condition\, $J_{+}=FJ_-$ that matches the model's chiral currents at the worldsheet boundary through a linear map $F$ acting on the WZW Lie algebra. The
AY Alekseev +38 more
core +3 more sources
Journal of Physics: Conference Series, 2021 Abstract In this present paper, we study real Frobenius Lie algebras constructed from non-commutative nilpotent Lie algebras of dimension ≤ 4. The main purpose is to obtain Frobenius Lie algebras of dimension ≤ 6. Particularly, for a given non-commutative nilpotent Lie algebras N of dimension ≤ 4 we show that there exist commutative ...
E Kurniadi, E Carnia, A K Supriatna
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Deformation theory of representations of prop(erad)s [PDF]
, 2008 We study the deformation theory of morphisms of properads and props thereby extending to a non-linear framework Quillen's deformation theory for commutative rings. The associated chain complex is endowed with a Lie algebra up to homotopy structure.
Bruno Vallette +2 more
core +14 more sources
Quasi-Frobenius-Lusztig kernels for simple Lie algebras
Transactions of the American Mathematical Society, 2016 In the first author’s Math. Res. Lett. paper (2014), the quasi-Frobenius-Lusztig kernel associated with s l
Liu, Gongxiang +2 more
openaire +5 more sources
Hom-O-Operators and Hom-Yang-Baxter Equations
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
doaj +1 more source
Generic bases for cluster algebras and the Chamber Ansatz [PDF]
, 2011 Let Q be a finite quiver without oriented cycles, and let $\Lambda$ be the corresponding preprojective algebra. Let g be the Kac-Moody Lie algebra with Cartan datum given by Q, and let W be its Weyl group.
Geiß, Christof +2 more
core +3 more sources
On groups and Lie algebras admitting a Frobenius group of automorphisms
Journal of Pure and Applied Algebra, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caldeira, Jhone +2 more
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Lie algebras with Frobenius dihedral groups of automorphisms
Journal of Algebra, 2023 Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ of order 2, such that the fixed-point subalgebra of $F$ is trivial and the fixed-point subalgebra of $H$ is metabelian. Then the derived length of $L$ is bounded by a constant.
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Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2023 In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebras is a symplectic double ...
Bouarroudj, Sofiane +2 more
openaire +4 more sources