Journal of the Ramanujan Mathematical Society

Volume 29, Issue 1, March 2014 pp. 1–26.

Whitehead groups of loop group schemes of nullity one

Authors: V. Chernousov, P. Gille and A. Pianzola
Author institution: Institute of Mathematics Simion Stoilow of the Romanian Academy, Calea Grivitei 21, RO-010702 Bucharest, Romania

Summary: 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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