Grégory Berhuy: Cohomological invariants of quaternionic skew-hermitian forms

berhuy@soton.ac.uk

Submission: 2006, Jul 7

We define a complete system of invariants \$e_{n,Q},n\geq 0\$ for quaternionic skew-hermitian forms, which are twisted versions of the invariants \$e_n\$ for quadratic forms. We also show that quaternionic skew-hermitian forms defined over a field of \$2\$-cohomological dimension at most \$3\$ are classified by rank, discriminant, Clifford invariant and Rost invariant.

2000 Mathematics Subject Classification:

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