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Clifford algebras and spinorsPertti Lounesto.

By: Material type: TextTextSeries: Publication details: Cambridge ; New York : Cambridge University Press, (c)2001.Edition: second editionDescription: 1 online resource (ix, 338 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107360730
Subject(s): Genre/Form: LOC classification:
  • QA199 .C554 2001
Online resources: Available additional physical forms:
Contents:
Vectors and linear spaces -- Complex numbers -- Bivectors and the exterior algebras -- Pauli spin matrices and spinors -- Quaternions -- Fourth dimension -- Cross product -- Elecromagnetism -- Lorentz transformations -- Dirac equation -- Fierz identities and boomerangs -- Flags, poles and dipoles -- Tilt to the opposite metric -- Definitions of the clifford algebra -- Witt rings and brauer groups -- Matrix representations and periodicity of 8 -- Spin groups and spinor spaces -- Scalar products of spinors and the chessboard -- Möbius transformations and vahlen matrices -- Hypercomplex analysis -- Binary index sets and walsh functions -- Chevalley's construction and characteristic 2 -- Octonions and triality.
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Holdings
Item type Current library Collection Call number URL Status Barcode
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) G. Allen Fleece Library ONLINE Non-fiction QA199 (Browse shelf(Opens below)) Link to resource Available ocn836869668

Includes bibliographies and index.

Vectors and linear spaces -- Complex numbers -- Bivectors and the exterior algebras -- Pauli spin matrices and spinors -- Quaternions -- Fourth dimension -- Cross product -- Elecromagnetism -- Lorentz transformations -- Dirac equation -- Fierz identities and boomerangs -- Flags, poles and dipoles -- Tilt to the opposite metric -- Definitions of the clifford algebra -- Witt rings and brauer groups -- Matrix representations and periodicity of 8 -- Spin groups and spinor spaces -- Scalar products of spinors and the chessboard -- Möbius transformations and vahlen matrices -- Hypercomplex analysis -- Binary index sets and walsh functions -- Chevalley's construction and characteristic 2 -- Octonions and triality.

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