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Index Reduction Formulas for Twisted Flag Varieties, II |
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| Authors: | A S Merkurjev I A Panin and A R Wadsworth |
| Institution: | (1) Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Petrodvorets, 198904, Russia;(2) Steklov Mathematical Institute, St. Petersburg (LOMI), Fontanka 27, St. Petersburg, 191011, Russia;(3) Department of Mathematics, University of California at San Diego, 0112, 9500 Gilman Drive, La Jolla, California, 92093-0112, U.S.A. E-mail |
| Abstract: | This is a continuation of the determination begun in K-Theory 10 (1996), 517–596, of explicit index reduction formulas for function fields of twisted flag varieties of adjoint semisimple algebraic groups. We give index reduction formulas for the varieties associated to the classical simple groups of outer type A n-1 and D n, and the exceptional simple groups of type E 6 and E 7. We also give formulas for the varieties associated to transfers and direct products of algebraic groups. This allows one to compute recursively the index reduction formulas for the twisted flag varieties of any semi-simple algebraic group. |
| Keywords: | central simple algebras Schur index reductive algebraic group parabolic subgroup twisted flat variety representations of algebraic groups transfer algebras with involution |
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