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Fourier, Ghislain (2014). Weyl Modules and Levi Subalgebras. J. Lie Theory, 24 (2). S. 503 - 528. LEMGO: HELDERMANN VERLAG. ISSN 0949-5932

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Abstract

For a simple complex Lie algebra g of classical type we are studying the restriction of modules of the current algebra to the current algebra of a Levi subalgebra of g. More precisely, we are studying the highest weight components of simple modules, global and local Weyl modules. We are identifying necessary and sufficient conditions on a pair of a Levi subalgebra and a dominant integral weight, such that the highest weight component of the restricted module is a global (resp., a local) Weyl module.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fourier, Ghislain UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-450091
Journal or Publication Title:	J. Lie Theory
Volume:	24
Number:	2
Page Range:	S. 503 - 528
Date:	2014
Publisher:	HELDERMANN VERLAG
Place of Publication:	LEMGO
ISSN:	0949-5932
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIMENSIONAL REPRESENTATIONS; DEMAZURE MODULES; CRYSTALS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/45009