Laboratoire de Mathématiques Emile Picard Institut de Mathématiques de Toulouse CNRS UMR 5219 Université Paul Sabatier 

Research axes of the Center Cairos  Center C.A.I.R.O.S*Clifford Algebras International Research Open Studies 

Events: 
Foreword: W. K. Clifford: (18451879) was not only a genius mathematician but also a physicist and a philosopher. Research Program: (A) Using Cliffordian methods study: the five types of exceptional simple Lie algebras and the corresponding associated Lie groups; the singular Lie algebra D4 associated to O(8) and Spin(8); simple exceptional Jordan algebras; exceptional projective Moufang planes and nonassociative composition algebras and applications to the foundations of quantum mechanics, quantum computing and cosmological models. (B) Applications of triple systems to the study of bounded symmetric domains; relations to conformal geometry over classical pseudoEuclidean spaces.. (C) Conformal spinors and generalized twistors; application to prequantization and quantization; (D) Study of other spinorial algebras (CliffordHeisenberg and orthosymplectic ones). (E) Dirac operators on manifolds and their generalizations; new topics about Clifford analysis. (F) Applications of Clifford algebraic methods in physics and engineering, in particular: multidimensional field theoretical models, robotics, control, image processing. (G) Epistemological heritage of William Kingdom Clifford. 

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Last updated 1 June, 2007