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Clifford Algebras and Lie Theory [electronic resource] / by Eckhard Meinrenken.

Meinrenken, Eckhard. (author.). SpringerLink (Online service) (Added Author).

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ISBN: 9783642362163
Physical Description: XX, 321 p. online resource.
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : 2013.

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Subject:

Mathematics.
Algebra.
Topological Groups.
Global differential geometry.
Mathematical physics.
Mathematics.
Topological Groups, Lie Groups.
Associative Rings and Algebras.
Mathematical Applications in the Physical Sciences.
Differential Geometry.
Mathematical Methods in Physics.

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Table of Contents

	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 HopfâKoszulâSamelson 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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