Articles with "weight representations" as a keyword



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The conformal characters

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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
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Plethysms of symmetric functions and highest weight representations

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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