Fourier, G. (2015) New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules. Moscow Mathematical Journal, 15(1), pp. 49-72.
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Publisher's URL: http://www.ams.org/distribution/mmj/
Abstract
New graded modules for the current algebra of sln are introduced. Relating these modules to the fusion product of simple sln-modules and local Weyl modules of truncated current algebras shows their expected impact on several outstanding conjectures. We further generalize results on PBW filtrations of simple sln-modules and use them to provide decomposition formulas for these new modules in important cases.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
Authors: | Fourier, G. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Moscow Mathematical Journal |
Journal Abbr.: | MMJ |
Publisher: | Independent University of Moscow |
ISSN: | 1609-3321 |
ISSN (Online): | 1609-4514 |
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