V. Chernousov, P. Gille and A. Pianzola: Whitehead groups of loop group schemes of nullity one


Submission: 2013, Nov 14

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

2010 Mathematics Subject Classification: 11E72, 14L30, 14E20.

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

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