Universität zu Köln

Fourier, Ghislain and Kus, Deniz (2013). DEMAZURE MODULES AND WEYL MODULES: THE TWISTED CURRENT CASE. Trans. Am. Math. Soc., 365 (11). S. 6037 - 6065. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

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Abstract

We study finite-dimensional respresentations of twisted current algebras and show that any graded twisted Weyl module is isomorphic to level one Demazure modules for the twisted affine Kac-Moody algebra. Using the tensor product property of Demazure modules, we obtain, by analyzing the fundamental Weyl modules, dimension and character formulas. Moreover, we prove that graded twisted Weyl modules can be obtained by taking the associated graded modules of Weyl modules for the loop algebra, which implies that its dimension and classical character are independent of the support and depend only on its classical highest weight. These results were previously known for untwisted current algebras and are new for all twisted types.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED Kus, Deniz UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-472779
DOI:	10.1090/S0002-9947-2013-05846-1
Journal or Publication Title:	Trans. Am. Math. Soc.
Volume:	365
Number:	11
Page Range:	S. 6037 - 6065
Date:	2013
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6850
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIMENSIONAL REPRESENTATIONS; CRYSTALS; FORMULA Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47277