Abstract
In this paper, we give identifications of bispinor space with Grassmann algebra, and with Clifford algebra. The multiplication in Clifford algebra provides an action on them. Lastly we have researched on the geometry of bispinor space, and define Dirac operators to get a Pythagoras equality.
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Feng, X. H., Zhu, L., Yu, Y. L.: Augmented Spinor Space. to appear
Yu, Y. L.: Augmented Spinor Space and Seiberg–Witten Map. Algebra Colloquium, 5(2), 189–202 (1998)
Yu, Y. L.: Index Theorem and Heat Equation Method, World Scientific, Singapore, 2001
Moore, J. D.: Lectures on Seiberg–Witten Invariants, Springer-Verlag, Berlin Heidelberg, 2001
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This work is supported by National Science Foundation of China No. 10131020
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Zhu, L., Feng, X.H. & Yu, Y.L. Bispinor Space. Acta Math Sinica 23, 1629–1638 (2007). https://doi.org/10.1007/s10114-005-0885-x
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DOI: https://doi.org/10.1007/s10114-005-0885-x