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Symmetries of the positive semidefinite cone

  • Ciprian S. Borcea EMAIL logo
Published/Copyright: December 2, 2011

Abstract.

We prove, with a short argument based on projective algebraic geometry, that all linear symmetries of the cone of positive semidefinite quadratic forms come from linear transformations of the variables.

MSC: 11H55; 52A20
Received: 2011-10-5
Published Online: 2011-12-2
Published in Print: 2014-7-1

© 2014 by Walter de Gruyter Berlin/Boston

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