The conformal characters
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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
Highest-Weight Vectors and Three-Point Functions in GKO Coset Decomposition
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DOI: 10.1007/s00220-025-05318-1
Abstract: We revisit the classical Goddard–Kent–Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of natural vertex operators between… read more here.
Keywords: vectors three; highest weight; weight vectors; coset decomposition ... See more keywords
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
On the annihilator variety of a highest weight Harish-Chandra module
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DOI: 10.1080/00927872.2025.2483883
Abstract: Abstract Let G be a Hermitian type Lie group with a maximal compact subgroup K. Let L(λ) be a highest weight Harish-Chandra module of G with infinitesimal character λ . By using some combinatorial algorithm,… read more here.
Keywords: chandra module; weight harish; harish chandra; annihilator variety ... See more keywords
Plethysms of symmetric functions and highest weight representations
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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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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