Albert J. Crumeyrolle (1919–1992) was a French mathematician and professor of mathematics at the Paul Sabatier University, known for his contributions to spinor structures and Clifford algebra.
Albert Crumeyrolle | |
---|---|
Born | 10 December 1919 Curemonte, Corrèze, France |
Died | 17 June 1992[1] Toulouse, France | (aged 72)
Nationality | French |
Known for | major contributions to the study of Clifford algebras, in particular spinor structures and symplectic Clifford algebra |
Scientific career | |
Fields | Mathematics |
Academic advisors | André Lichnerowicz |
Crumeyrolle was a student of André Lichnerowicz under whose supervision he completed a thesis in 1961.[2]
His first important paper after completing his doctorate addressed spinor structures using methods of Clifford algebras developed by Claude Chevalley.[3]
Crumeyrolle is known for his major contributions to theories of Clifford algebras and spinor structures. In 1975 he laid the foundations for symplectic Clifford algebra and the symplectic spinor.[4] An earlier publication by two other authors, Nouazé and Revoy, had appeared three years before in which Weyl algebras were treated from a Cliffordian point of view. Crumeyrolle however drew more attention to the topic, and, as emphasized by Jacques Helmstetter, he contributed original ideas of his own.[5] His work on symplectic Clifford algebras however came under serious critique on mathematical grounds.[6]
The mathematician Artibano Micali recalled Crumeyrolle stating that periodicity of Clifford algebras should play a similar role for elementary particle physics as the periodic classification of elements by Dmitri Mendeleev has played for the periodic table of elements.[3]
Crumeyrolle taught in Iran in 1966, in several Europe countries and, in 1973, at Stanford University summer school.[2]
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