Comparing Invariants of SK1

Algebras and Representation Theory - Tập 16 - Trang 729-745 - 2011
Tim Wouters1
1Departement Wiskunde, K.U. Leuven, Leuven, Belgium

Tóm tắt

In this text, we compare an invariant of the reduced Whitehead group SK 1 of a central simple algebra recently introduced by Kahn (2010) to other invariants of SK 1. Doing so, we prove the non-triviality of Kahn’s invariant using the non-triviality of an invariant introduced by Suslin (1991) which is non-trivial for Platonov’s examples of non-trivial SK 1 (Platonov, Math USSR Izv 10(2):211–243, 1976). We also give a formula for the value on the centre of the tensor product of two symbol algebras which generalises a formula of Merkurjev for biquaternion algebras (Merkurjev 1995).

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Thông tin xuất bản

Algebras and Representation Theory

Tập 16

729-745

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