Journal of the Ramanujan Mathematical Society

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Whitehead Groups of Loop Group Schemes of Nullity One


Affiliations
1 Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
2 UMR 5208 du CNRS-Institut Camille Jordan-Universit´e Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex, France
3 Centro de Altos Estudios en Ciencia Exactas, Avenida de Mayo 866, (1084) Buenos Aires, Argentina
     

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We define and study the Whitehead group of isotropic (almost) simple simply connected group schemes over Laurent polynomial rings k[t±1], where k is a field of characteristic 0. Our motivation for doing this comes from infinite dimensional Lie theory.
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  • Whitehead Groups of Loop Group Schemes of Nullity One

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Authors

V. Chernousov
Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
P. Gille
UMR 5208 du CNRS-Institut Camille Jordan-Universit´e Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex, France
A. Pianzola
Centro de Altos Estudios en Ciencia Exactas, Avenida de Mayo 866, (1084) Buenos Aires, Argentina

Abstract


We define and study the Whitehead group of isotropic (almost) simple simply connected group schemes over Laurent polynomial rings k[t±1], where k is a field of characteristic 0. Our motivation for doing this comes from infinite dimensional Lie theory.