Unitary SK_1 of semiramified graded and valued division algebras

Abstract

We prove formulas for the unitary SK_1 of a semiramified graded division algebra (or valued division algebra over a Henselian field) with a unitary involution. These formulas generalize earlier formulas of Yanchevskii, (and Platonov and Ershov for the nonunitary SK_1).

34 pages. Correction in References in v. 2

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• Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring