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Title: Globally irreducible Weyl modules for quantum groups
The authors proved that a Weyl module for a simple algebraic group is irreducible over every field if and only if the module is isomorphic to the adjoint representation for $$E_{8}$$ or its highest weight is minuscule. In this paper, we prove an analogous criteria for irreducibility of Weyl modules over the quantum group $$U_{\zeta}({{\mathfrak g}})$$ where $${\mathfrak g}$$ is a complex simple Lie algebra and $$\zeta$$ ranges over roots of unity.  more » « less
Award ID(s):
1701768
PAR ID:
10106709
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Springer Proceedings in Mathematics and Statistics (Geometric and Topological Aspects of the Representation Theory of Finite Groups), Springer-Verlag
Volume:
242
Page Range / eLocation ID:
313-336
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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