Results 41 to 50 of about 67,761 (247)
The geometry of Casimir W-algebras
SciPost Physics, 2018 Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
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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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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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Schur Functions and Affine Lie Algebras
Journal of Algebra, 1998 It is known that irreducible highest weight representations of \(a_{\infty}\), an infinite rank affine Lie algebra, can be realized on the space \(Sym\) of symmetric functions in countably many variables. A canonical basis of weight vectors of \(Sym\) is given by Schur's S-functions.
Leclerc, Bernard, Leidwanger, Séverine
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Hyperbolization of Affine Lie Algebras
, 2023 Accepted version, to appear in Mem. Amer.
Sun, Kaiwen +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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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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Covering Algebras I. Extended Affine Lie Algebras
Journal of Algebra, 2002 Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
Allison, Bruce +2 more
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Backbone Heterojunction Photocatalysts for Efficient Sacrificial Hydrogen Production
Advanced Functional Materials, EarlyView.Herein, a ‘single‐component’ organic semiconductor photocatalyst is presented in which a molecular donor is bonded to a polymer acceptor. The resultant material demonstrates exceptional photocatalytic activity for hydrogen evolution in aqueous triethylamine with an outstanding external quantum efficiency of 38% at 420 nm.
Richard J. Lyons +11 more
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Non-linear Lie conformal algebras with three generators
, 2007 We classify certain non-linear Lie conformal algebras with three generators, which can be viewed as deformations of the current Lie conformal algebra of sl_2.
Bakalov, Bojko, De Sole, Alberto
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