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- W1504332912 abstract "LAURENT POLYNOMIAL REPRESENTATIONS OF sl(n) by Helene M. Payne In this thesis,we study infinite dimensional representations of the special linear Lie algebras sl(n). These representations arise naturally from the Weyl construction e^ »—• £,——, where e^ are the elementary matrices. (This definition of elementary matrix differs from the one in linear algebra.) Our main results provide explicit decomposition of indecomposable representations related to the Laurent polynomials Cfx^, x^,..., x^]. In particular, we verify that the space of degree zero of homogeneous polynomials of three variables (resp. two variables) has length 7 (resp. 3) as an sl(3)-representation (resp. sl(2)-representation)." @default.
- W1504332912 created "2016-06-24" @default.
- W1504332912 creator A5074535620 @default.
- W1504332912 date "2019-05-03" @default.
- W1504332912 modified "2023-09-25" @default.
- W1504332912 title "Laurent polynomial representations of sl(n)" @default.
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- W1504332912 doi "https://doi.org/10.31979/etd.mxry-atw2" @default.
- W1504332912 hasPublicationYear "2019" @default.
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