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Book Summary
Dirac operators play an important role in several domains of mathematics and
physics, for example: index theory, elliptic pseudodifferential operators,
electromagnetism, particle physics, and the representation theory of Lie groups.
In this essentially self-contained work, the basic ideas underlying the concept
of Dirac operators are explored. Starting with Clifford algebras and the
fundamentals of differential geometry, the text focuses on two main properties,
namely, conformal invariance, which determines the local behavior of the
operator, and the unique continuation property dominating its global behavior.
Spin groups and spinor bundles are covered, as well as the relations with their
classical counterparts, orthogonal groups and Clifford bundles. The chapters on
Clifford algebras
- ISBN-13
- 9780817642983
- Language
- English
- Binding
- Hard Bound
- Publisher
- Birkhauser
- Publishing Date
- 2002-07-31
- Total Pages
- 211
An Introduction To Dirac Operators On Manifolds
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Product Specifications
Book Summary
Dirac operators play an important role in several domains of mathematics and
physics, for example: index theory, elliptic pseudodifferential operators,
electromagnetism, particle physics, and the representation theory of Lie groups.
In this essentially self-contained work, the basic ideas underlying the concept
of Dirac operators are explored. Starting with Clifford algebras and the
fundamentals of differential geometry, the text focuses on two main properties,
namely, conformal invariance, which determines the local behavior of the
operator, and the unique continuation property dominating its global behavior.
Spin groups and spinor bundles are covered, as well as the relations with their
classical counterparts, orthogonal groups and Clifford bundles. The chapters on
Clifford algebras
Book Specifications
- ISBN-13
- 9780817642983
- Language
- English
- Binding
- Hard Bound
- Publisher
- Birkhauser
- Publishing Date
- 2002-07-31
- Total Pages
- 211