Results 41 to 50 of about 66,909 (247)
Four-Point Affine Lie Algebras [PDF]
Proceedings of the American Mathematical Society, 1995 We consider Lie algebras of the form g ⊗ R \mathfrak {g} \otimes R where g \mathfrak {g} is a simple complex Lie algebra and R = C [ s , s − 1
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Calculations on Lie Algebra of the Group of Affine Symplectomorphisms
Advances in Mathematical Physics, 2017 We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
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Double affine Lie algebras and finite groups
, 2009 We introduce and begin to study Lie theoretical analogs of symplectic reflection algebras for a finite cyclic group, which we call "cyclic double affine Lie algebra". We focus on type A : in the finite (resp.
Guay, Nicolas +2 more
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Geometry and affine Lie algebras
Journal of Algebra, 1990 Generalizing work of \textit{J. R. Faulkner} [J. Algebra 26, 1--9 (1973; Zbl 0285.17004)], the author investigates the inner ideal geometry of a faithful irreducible highest weight module \(M\) over an affine Lie algebra \(L\). First the inner ideals of \(M\) are determined using a certain inner product on \(M\).
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Locally Homogeneous Manifolds Defined by Lie Algebra of Infinitesimal Affine Transformations
Mathematics, 2022 This article deals with Lie algebra G of all infinitesimal affine transformations of the manifold M with an affine connection, its stationary subalgebra ℌ⊂G, the Lie group G corresponding to the algebra G, and its subgroup H⊂G corresponding to the ...
Vladimir A. Popov
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Spinor representations of affine Lie algebras [PDF]
Proceedings of the National Academy of Sciences, 1980 Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types D l +1 (2) , B l (1) , or D l (1)
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Flat Affine or Projective Geometries on Lie Groups
, 2016 This paper deals essentially with affine or projective transformations of Lie groups endowed with a flat left invariant affine or projective structure. These groups are called flat affine or flat projective Lie groups.
Giraldo, Hernan +2 more
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On properties of principal elements of Frobenius Lie algebras [PDF]
, 2014 We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
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Constructing simply laced Lie algebras from extremal elements
, 2007 For any finite graph Gamma and any field K of characteristic unequal to 2 we construct an algebraic variety X over K whose K-points parameterise K-Lie algebras generated by extremal elements, corresponding to the vertices of the graph, with prescribed ...
Draisma, Jan, panhuis, Jos in 't
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Special symplectic Lie groups and hypersymplectic Lie groups [PDF]
, 2010 A special symplectic Lie group is a triple $(G,\omega,\nabla)$ such that $G$ is a finite-dimensional real Lie group and $\omega$ is a left invariant symplectic form on $G$ which is parallel with respect to a left invariant affine structure $\nabla$.
A. Andrada +32 more
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