Faces of highest weight modules and the universal Weyl polyhedron
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DOI: 10.1016/j.aim.2017.08.005
Abstract: Abstract Let V be a highest weight module over a Kac–Moody algebra g , and let conv V denote the convex hull of its weights. We determine the combinatorial isomorphism type of conv V, i.e. we completely… read more here.
Keywords: faces highest; weight; universal weyl; weight modules ... See more keywords
Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules
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DOI: 10.1063/1.4973378
Abstract: A classification of the simple weight modules is given for the (6-dimensional) Euclidean Lie algebra ????(3) = ????????2⋉V3. As an intermediate step, a classification of all simple modules is given for the centralizer C of… read more here.
Keywords: classification simple; enveloping algebra; simple weight; classification ... See more keywords
Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras
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DOI: 10.1080/00927872.2017.1350697
Abstract: ABSTRACT In this paper, we investigate the tensor structure of the category of finite- dimensional weight modules over the Hopf–Ore extensions kG(χ−1,a,0) of group algebras kG. The tensor product decomposition rules for all indecomposable weight… read more here.
Keywords: group algebras; weight modules; extensions group; hopf ore ... See more keywords
Non-weight modules over N = 1 Lie superalgebras of Block type
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DOI: 10.1515/forum-2022-0267
Abstract: Abstract In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank… read more here.
Keywords: weight modules; modules lie; block; block type ... See more keywords
Vanishing Property of BRST Cohomology for Modified Highest Weight Modules
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DOI: 10.3390/axioms12060550
Abstract: We construct certain modified highest weight modules which are called quasi highest weight modules in this paper. Using the quasi highest weight modules, we introduce a new category of modules over an affine Lie superalgebra… read more here.
Keywords: highest weight; weight modules; vanishing property; property brst ... See more keywords