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book (8)


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Book
Multilinear algebra
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Year: 1967 Publisher: Berlin,New York : Springer-Verlag,

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Book
Maximal subalgebras of vector fields for equivariant quantizations
Authors: ---
Year: 2000 Publisher: Liège : Université de Liège, Institut de mathématique (ULg),

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Book
Irreducible tensorial sets
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Year: 1959 Publisher: New York, NY : Academic Press,

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Book
The construction and study of certain important algebras
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Year: 1955 Publisher: Tokyo : Mathematical Society of Japan,

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Book
Linear algebra and geometry
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ISBN: 0030744857 Year: 1969 Publisher: New York, NY : Holt, Rinehart & Winston (HRW),

Multilinear algebra
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ISBN: 9056990780 9789056990787 Year: 1997 Volume: 8 Publisher: [Amsterdam] : Gordon and Breach Science Publishers,

Clifford algebras and spinors
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ISBN: 0521599164 Year: 1997 Publisher: Cambridge : Cambridge University Press,

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In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. A new classification of spinors is introduced, one based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the algebraic side, Brauer/Wall groups and Witt rings are discussed, and on the analytic, Cauchy's integral formula is generalised to higher dimensions.

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