Weyl Modules for Toroidal Lie Algebras
In this paper, we study Weyl modules for a toroidal Lie algebra T with arbitrary n variables. Using the work of Rao (Pac. J. Math. 171 (2), 511–528 1995 ), we prove that the level one global Weyl modules of T are isomorphic to suitable submodules of a Fock space representation of T up to a twist. As...
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| Veröffentlicht in: | Algebras and representation theory 2023-12, Vol.26 (6), p.2605-2626 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | In this paper, we study Weyl modules for a toroidal Lie algebra
T
with arbitrary
n
variables. Using the work of Rao (Pac. J. Math.
171
(2), 511–528
1995
), we prove that the level one global Weyl modules of
T
are isomorphic to suitable submodules of a Fock space representation of
T
up to a twist. As an application, we compute the graded character of the level one local Weyl module of
T
, thereby generalising the work of Kodera (Lett. Math. Phys.
110
(11) 3053–3080
2020
). |
|---|---|
| ISSN: | 1386-923X 1572-9079 |
| DOI: | 10.1007/s10468-022-10187-6 |