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

自然科学 数学 几何与拓扑

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