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Spinors and canonical hermitian forms

Published online by Cambridge University Press:  18 May 2009

P. L. Robinson
P. L. Robinson
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
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The space S of spinors associated to a 2m-dimensional real inner product space (V, B) carries a canonical Hermitian form 〈 〉 determined uniquely up to real multiples. This form arises as follows: the complex Clifford algebra C(V) of (V, B) is naturally provided with an antilinear involution; this induces an involution on End S via the spin representation; this is the adjoint operation corresponding to 〈 〉.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 3 , September 1988 , pp. 263 - 270
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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