Bases for local Weyl modules in type $C$

Abstract

We give a Poincare-Birkhoff-Witt type basis for local Weyl modules of the current algebra of type $C$. As a consequence, we get a fermionic character formula for these modules.

arXiv comment19 pages

References in corpus (3)

• Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1}
• Weyl modules, Demazure modules and finite crystals for non-simply laced type
• On Chari-Loktev bases for local Weyl modules in type $A$