P000160
On the bundle of Clifford algebras over the space of quadratic forms
*Arkadiusz Jadczyk (Laboratoire de Physique Théorique, Université de Toulouse III & CNRS, 118 route de Narbonne, 31062 Toulouse, France)
Agnieszka Matylda Schlichtinger (Institute of Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-204 Wroclaw, Poland)
In the present work we use the Bourbaki’s λF application to study the vector bundle of Clifford algebras over the base manifold of (possible degenerate) quadratic forms. Antisymmetric bilinear forms act as deformations, and also as vertical automorphisms of this bundle. We also discuss possible physical applications of such a construction.