Results 161 to 170 of about 361,283 (249)

The PBW Filtration, Demazure Modules and Toroidal Current Algebras

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Let L be the basic (level one vacuum) representation of the affine Kac-Moody Lie algebra ^g. The m-th space F_m of the PBW filtration on L is a linear span of vectors of the form x_1dots x_lv_0, where l ≤ m, x_i in ^g and v_0 is a highest weight vector ...
Evgeny Feigin
doaj   +1 more source

Characters for extended affine Lie algebras; a combinatorial approach [PDF]

open access: yesarXiv
The behavior of objects associated with general extended affine Lie algebras is typically distinct from their counterparts in affine Lie algebras. Our research focuses on studying characters and Cartan automorphisms, which appear in the study of Chevalley involutions and Chevalley bases for extended affine Lie algebras.
arxiv  

On different approaches to IRF lattice models. Part II

open access: yesJournal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin   +3 more
doaj   +1 more source

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