Discriminants of involutions on Henselian division algebras

Chacron, Maurice;Dherte, Hélène;Tignol, Jean-Pierre;Wadsworth, Adrian R.;Yanchevskii, Vyacheslav I.
(1995) Pacific Journal of Mathematics — Vol. 167, n° 1, p. 49-79 (1995)

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Authors
  • Chacron, MauriceCarleton University
    Author
  • Dherte, HélèneUCLouvain
    Author
  • Tignol, Jean-Pierreorcid-logoUCLouvain
    Author
  • Wadsworth, Adrian R.University of California, San Diego
    Collaborator
  • Yanchevskii, Vyacheslav I.Academy of Sciences of Belarus
    Author
Abstract
The discriminant of an involution of the first kind on a finite-dimensional division algebra over a field with a Henselian valuation of residue characteristic different from 2 is computed in terms of residue information. We also describe the set of discriminants of involutions on such division algebras. In the case where the residue involution is the identity, a stable decomposition of the division algebra into the tensor product of a semi-ramified and a totally ramified subalgebra is obtained.
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Chacron, M., Dherte, H., Tignol, J.-P., & Yanchevskii, V. I. (1995). Discriminants of involutions on Henselian division algebras. Pacific Journal of Mathematics, 167(1), 49-79. https://hdl.handle.net/2078.5/145104 (Original work published 1995)