LAUSR

The conformal characters

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1 Published in 2017 at "Journal of High Energy Physics"

DOI: 10.1007/jhep04(2018)055

Abstract: A bstractWe revisit the study of the multiplets of the conformal algebra in any dimension. The theory of highest weight representations is reviewed in the context of the Bernstein-Gelfand-Gelfand category of modules. The Kazhdan-Lusztig polynomials… read more here.

Keywords: theory; conformal characters; weight representations; characters conformal ... See more keywords

Faces of highest weight modules and the universal Weyl polyhedron

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1 Published in 2017 at "Advances in Mathematics"

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

Plethysms of symmetric functions and highest weight representations

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0 Published in 2021 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/8481

Abstract: Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions $s_\nu$ and $s_\mu$. In this article we define an explicit polynomial representation corresponding to $s_\nu \circ s_\mu$ with basis indexed by certain `plethystic'… read more here.

Keywords: lambda; plethysms symmetric; weight representations; symmetric functions ... See more keywords

Vanishing Property of BRST Cohomology for Modified Highest Weight Modules

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0 Published in 2023 at "Axioms"

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