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自旋几何 内容简介
in the late 1920's the relentless march of
ideas and discoveries had carried physics to a generally accepted
relativistic theory of the electron. the physicist p.a.m. dirac,
however, was dissatisfied with the prevailing ideas and, somewhat
in isolation, sought for a better formulation. by 1928 he succeeded
in finding a theory which accorded with his own ideas and also fit
most of the established principles of the time. ultimately this
theory proved to be one of the great intellectual achievements of
the period. it was particularly
自旋几何 目录
preface
acknowledgments
introduction
chapter ⅰ clifford algebras, spin groups and their
representations
1. clifford algebras
2. the groups pin and spin
3. the algebras cln, and clr,s
4. the classification
5. representations
6. lie algebra structures
7. some direct applications to geometry
8. some further applications to the theory of lie groups
9. k-theory and the atiyah-bott-shapiro construction
10. kr-theory and the (1,1)-periodicity theorem
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