Weyl modules and Weyl functors for hyper-map algebras
Keyword(s):
We investigate the representations of the hyperalgebras associated to the map algebras [Formula: see text], where [Formula: see text] is any finite-dimensional complex simple Lie algebra and [Formula: see text] is any associative commutative unitary algebra with a multiplicatively closed basis. We consider the natural definition of the local and global Weyl modules, and the Weyl functor for these algebras. Under certain conditions, we prove that these modules satisfy certain universal properties, and we also give conditions for the local or global Weyl modules to be finite-dimensional or finitely generated, respectively.
2007 ◽
Vol 17
(03)
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pp. 527-555
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1976 ◽
Vol 28
(2)
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pp. 420-428
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1985 ◽
Vol 37
(1)
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pp. 122-140
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2015 ◽
Vol 151
(7)
◽
pp. 1265-1287
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