Whitehead groups of loop group schemes of nullity one

Authors :: Chernousov, Vladimir
Gille, Philippe
Pianzola, Arturo
Gille, Philippe
University of Alberta
'Simion Stoilow' Institute of Mathematics (IMAR)
Romanian Academy of Sciences
Algèbre, géométrie, logique (AGL)
Institut Camille Jordan [Villeurbanne] (ICJ)
École Centrale de Lyon (ECL)
Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL)
Université de Lyon-Université Jean Monnet [Saint-Étienne] (UJM)-Institut National des Sciences Appliquées de Lyon (INSA Lyon)
Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL)
Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)
Source :: Journal of the Ramanujan Mathematical Society, Journal of the Ramanujan Mathematical Society, Ramanujan Mathematical Society, 2014, 29 (1), pp.1-26
Publication Year :: 2014
Publisher :: HAL CCSD, 2014.
Abstract: International audience; We define and study the Whitehead group of isotropic (almost) simple simply connected group schemes over Laurent polynomial rings. Our motivation for doing this comes from infinite dimensional Lie theory.

Subjects :: Laurent polynomials
[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA]
Whitehead groups
[MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA]
11E72, 14L30, 14E20
Kneser-Tits problem
Kac-Moody groups
buildings
Reductive group scheme

Language :: English
ISSN :: 09701249 and 23203110
Database :: OpenAIRE
Journal :: Journal of the Ramanujan Mathematical Society, Journal of the Ramanujan Mathematical Society, Ramanujan Mathematical Society, 2014, 29 (1), pp.1-26
Accession number :: edsair.dedup.wf.001..77942231ec0ea626ae899ad3fc269b0e

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