Clifford Algebras and Lie Theory

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin gro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Meinrenken, Eckhard (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Topological groups.
Lie groups.
Associative rings.
Associative algebras.
Mathematical physics.
Geometry, Differential.
Topological Groups and Lie Groups.
Associative Rings and Algebras.
Mathematical Physics.
Differential Geometry.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Conventions
  • List of Symbols
  • 1 Symmetric bilinear forms
  • 2 Clifford algebras
  • 3 The spin representation
  • 4 Covariant and contravariant spinors
  • 5 Enveloping algebras
  • 6 Weil algebras
  • 7 Quantum Weil algebras
  • 8 Applications to reductive Lie algebras
  • 9 D(g; k) as a geometric Dirac operator
  • 10 The Hopf-Koszul-Samelson Theorem
  • 11 The Clifford algebra of a reductive Lie algebra
  • A Graded and filtered super spaces
  • B Reductive Lie algebras
  • C Background on Lie groups
  • References
  • Index.

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