Grégory Berhuy: Cohomological invariants of quaternionic skew-hermitian forms

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:

Keywords and Phrases:

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