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Yvette Kosmann-Schwarzbach
Born (1941-04-30) 30 April 1941 (age 83)
NationalityFrench
Alma mater University of Paris
Known for Kosmann lift
Scientific career
Fields Mathematics
Institutions École polytechnique
University of Lille
Thesis Dérivées de Lie des spineurs  (1970)
Doctoral advisor André Lichnerowicz
Website https://www.cmls.polytechnique.fr/perso/kosmann/

Yvette Kosmann-Schwarzbach (born 30 April 1941) [1] is a French mathematician and professor.

Education and career

Kosmann-Schwarzbach obtained her doctoral degree in 1970 at the University of Paris under supervision of André Lichnerowicz on a dissertation titled Dérivées de Lie des spineurs ( Lie derivatives of spinors). [2]

She worked at Lille University of Science and Technology, and since 1993 at the École polytechnique.

Research

Kosmann-Schwarzbach is the author of over fifty articles on differential geometry, algebra and mathematical physics, of two books on Lie groups and on the Noether theorem, as well as the co-editor of several books concerning the theory of integrable systems. The Kosmann lift in differential geometry is named after her. [3] [4]

Works

  • Groups and Symmetries: From Finite Groups to Lie Groups. Translated by Stephanie Frank Singer. Springer 2010, ISBN  978-0387788654. [5]
  • The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century. Translated by Bertram Schwarzbach. Springer 2011, ISBN  978-0387878676. [6]

References

  1. ^ Birth date from Library of Congress and French National Library, retrieved 2019-10-13
  2. ^ Yvette Kosmann-Schwarzbach at the Mathematics Genealogy Project
  3. ^ Fatibene, L.; Ferraris, M.; Francaviglia, M.; Godina, M. (28 August – 1 September 1995). Janyska, J.; Kolář, I.; Slovák, J. (eds.). "A geometric definition of Lie derivative for Spinor Fields". Proceedings of the 6th International Conference on Differential Geometry and Applications. Brno, Czech Republic: Masaryk University: 549–558.
  4. ^ Godina M. and Matteucci P. (2003), Reductive G-structures and Lie derivatives, Journal of Geometry and Physics, 47, pp. 66–86
  5. ^ Reviews of Groups and Symmetries: Aloysius Helminck (2011), MR 2553682; Thomas R. Hagedorn (2010), MAA Reviews; Ilka Agricola, Zbl  1132.20001; Eugene Kryachko, Zbl  1201.20001.
  6. ^ Reviews of The Noether Theorems: Jeremy Gray (2008), Historia Mathematica, doi: 10.1016/j.hm.2007.06.002; Narciso Román-Roy (2012), MR 2761345; Michael Berg (2011), MAA Reviews; Teodora-Liliana Rădulescu, Zbl  1128.01024; Reinhard Siegmund-Schultze, Zbl  1216.01011.