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克利福德代数

读物

• 维基百科: Spinor

https://en.wikipedia.org/wiki/Twistor_theory

• Do twistors relate the threesome and the foursome?
• Is there an eight-dimensional concept that expands on spinors and twistors?

Spinor

• Low dimension spinor representations have 8fold periodicity https://en.m.wikipedia.org/wiki/Spinor

Harvey, F. Reese (1990), "Chapter 2: The Eight Types of Inner Product Spaces", Spinors and calibrations, Academic Press, pp. 19–40, ISBN 0-12-329650-1

MacMahon Master Theorem

• The coefficient of {$x_1^{k_1}\cdots x_m^{k_m}$} in {$\frac{1}{\det (I_m - TA)}$} equals its coefficient in {$\prod_{i=1}^m \bigl(a_{i1}x_1 + \dots + a_{im}x_m \bigl)^{k_i}$}
• My thesis has combinatorial interpretations for the generating function {$\frac{1}{\det (I - A)} = \sum_{n=0}^{\infty}x^nh_n(\xi_1,...,\xi_n)$}
• Julian Schwinger: It is the MacMahon Master Theorem that unifies the angular momentum properties of composite systems in the binary build-up of such systems from more elementary constituents.