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Bases for the
global Weyl modules of $\mathfrak{sl}_n$ of highest weight
$m\omega_1$
Samuel Chamberlin and Amanda Croan
Vol. 10 (2017), No. 4, 573–581
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Abstract |
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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 of highest weight . These bases are given in terms of specific elements of the universal enveloping algebra, , acting on the highest weight vector. |
Keywords
Lie algebra, module, representation, Weyl
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Mathematical Subject Classification 2010
Primary: 17B10
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Milestones
Received: 29 June 2015
Accepted: 25 August 2015
Published: 7 March 2017
Communicated by Jim Haglund
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Authors |
| Samuel Chamberlin | |
| Department of Information Systems,
Computer Science and Mathematics Park University 8700 NW River Park Drive #30 Parkville, 64152 United States |
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| Amanda Croan | |
| Department of Information Systems,
Computer Science and Mathematics Park University 8700 NW River Park Drive #30 Parkville, 64152 United States |
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