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Chari, Vyjayanthi, Ion, Bogdan ORCID: 0000-0003-3354-4584 and Kus, Deniz (2015). Weyl Modules for the Hyperspecial Current Algebra. Int. Math. Res. Notices, 2015 (15). S. 6470 - 6516. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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Abstract

We develop the theory of global and local Weyl modules for the hyperspecial current algebra of type A(2n)((2)). We prove that the dimension of a local Weyl module depends only on its highest weight, thus establishing a freeness result for global Weyl modules. Furthermore, we show that the graded local Weyl modules are level one Demazure modules for the corresponding affine Lie algebra. In the last section, we derive the same results for the special current algebras of the twisted affine Lie algebras not of type A(2n)((2)).

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chari, Vyjayanthi UNSPECIFIED UNSPECIFIED UNSPECIFIED Ion, Bogdan UNSPECIFIED orcid.org/0000-0003-3354-4584 UNSPECIFIED Kus, Deniz UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-416208
DOI:	10.1093/imrn/rnu135
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2015
Number:	15
Page Range:	S. 6470 - 6516
Date:	2015
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DEMAZURE MODULES; CRYSTALS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41620