Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules
2015 ◽
Vol 26
(08)
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pp. 1550053
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Keyword(s):
Using completions of certain universal enveloping algebras, we provide a natural setting for families of defining relations for the principal subspaces of standard modules for untwisted affine Lie algebras. We also use the theory of vertex operator algebras and intertwining operators to construct exact sequences among principal subspaces of certain standard [Formula: see text]-modules, n ≥ 3. As a consequence, we obtain the multigraded dimensions of the principal subspaces W(k1Λ1 + k2Λ2) and W(kn-2Λn-2 + kn-1Λn-1). This generalizes earlier work by Calinescu on principal subspaces of standard [Formula: see text]-modules.
2007 ◽
Vol 314
(1)
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pp. 479-506
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2003 ◽
Vol 18
(33n35)
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pp. 2467-2474
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Keyword(s):
2009 ◽
Vol 20
(03)
◽
pp. 339-368
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1996 ◽
Vol 44
(1-2)
◽
pp. 207-215
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Keyword(s):
2013 ◽
Vol 13
(01)
◽
pp. 1350062
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Keyword(s):