Whitehead groups of loop group schemes of nullity one

Vladimir Chernousov; Philippe Gille; Arturo Pianzola

Journal articles

Whitehead groups of loop group schemes of nullity one

Vladimir Chernousov ¹ Philippe Gille ^{2, 3} Arturo Pianzola ¹

1 University of Alberta

2 IMAR - "Simion Stoilow" Institute of Mathematics

3 AGL - Algèbre, géométrie, logique

ICJ - Institut Camille Jordan [Villeurbanne]

Abstract : 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.

Keywords : buildings Kneser-Tits problem Kac-Moody groups Whitehead groups Laurent polynomials Reductive group scheme

Document type :

Journal articles

Domain :

Mathematics [math] / Rings and Algebras [math.RA]

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https://hal.archives-ouvertes.fr/hal-01026120
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Submitted on : Tuesday, July 22, 2014 - 8:39:52 AM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Monday, November 24, 2014 - 8:42:00 PM

Whitehead groups of loop group schemes of nullity one

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Whitehead groups of loop group schemes of nullity one

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