Clifford algebras and spinors. (Q2711809)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Clifford algebras and spinors. |
scientific article |
Statements
26 April 2001
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Clifford algebra
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exterior algebra
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geometric algebra
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linear algebra
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Clifford algebras over finite fields
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cross-product
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spinors
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ideal spinors
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operator spinors
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triality
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scalar products of spinor spaces
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Fierz identities
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flag-dipole-spinors
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Witt rings
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quadratic forms
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orthogonal groups
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spin groups
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pin groups
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Clifford-Lipschitz-groups
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Brauer-Wall-groups
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periodicity theorems
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Möbius transformations
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Vahlen matrices
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conformal group
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hypercomplex variables
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hypercomplex function theory
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monogenetic functions
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higher dimension Cauchy integral formula
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electromagnetism
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Dirac theory
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special relativity
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Walsh functions
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octonions
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history of Clifford algebras
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Clifford algebras and spinors. (English)
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The second edition of `Clifford algebras and spinors', reprinted already two times in the first edition, is welcome in the Clifford algebra community where it has already taken its prominent place on the book shelf but most likely much more by `newcomers' joining the dynamical growing exciting field. Even titulated as `bible', by some colleagues, this book cannot be underestimated in its current influence as it opened the `seven seals' of Clifford algebras to a wide range of persons.NEWLINENEWLINENEWLINEThe content, described in the review of the first edition (1997; Zbl 0887.15029) has not changed but was slightly extended. Small typographical errors have been corrected and a new chapter on octonions and triality, already announced in the first edition, has been added. This chapter explores the octonions and the remarkable fact of triality intimately connected to exceptional Lie groups. A further chapter on the history of Clifford algebras which summarises and completes the remarks spread out already over the book is also new.
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