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2017 Bases for the global Weyl modules of $\mathfrak{sl}_n$ of highest weight $m\omega_1$
Samuel Chamberlin, Amanda Croan
Involve 10(4): 573-581 (2017). DOI: 10.2140/involve.2017.10.573

Abstract

We utilize a theorem of B. Feigin and S. Loktev to give explicit bases for the global Weyl modules for the map algebras of the form sln A of highest weight mω1. These bases are given in terms of specific elements of the universal enveloping algebra, U(sln A), acting on the highest weight vector.

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Samuel Chamberlin. Amanda Croan. "Bases for the global Weyl modules of $\mathfrak{sl}_n$ of highest weight $m\omega_1$." Involve 10 (4) 573 - 581, 2017. https://doi.org/10.2140/involve.2017.10.573

Information

Received: 29 June 2015; Accepted: 25 August 2015; Published: 2017
First available in Project Euclid: 12 December 2017

zbMATH: 06699707
MathSciNet: MR3630304
Digital Object Identifier: 10.2140/involve.2017.10.573

Subjects:
Primary: 17B10

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.10 • No. 4 • 2017
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