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INVOLUTIONS AND ANTI-AUTOMORPHISMS OF ALGEBRAS

Published online by Cambridge University Press:  24 July 2006

DAVID W. LEWIS
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, [email protected]
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Abstract

This paper concerns involutions and anti-automorphisms on finite-dimensional associative algebras over a field. It is based on a survey talk given at the workshop on ‘Quadratic forms, algebras with involution and algebraic K-theory’ at the University of Nottingham, 13–15 May 2004. This workshop was part of the EU network HPRN-CT-2002-00287 on ‘Algebraic $K$-theory, linear algebraic groups and related structures’ and followed the London Mathematical Society Midlands Regional Meeting in Nottingham on 12 May, 2004.

The contents of the article are as follows:

  1. Introduction and historical remarks;

  2. Some general results;

  3. Central simple algebras;

  4. Group algebras.

Type
Papers
Copyright
The London Mathematical Society 2006

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