- #1

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sorry if what i saying is a non-sense, but i really want to understand better the math behind the concept of a spinor.

thanks

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- #1

- 33

- 2

sorry if what i saying is a non-sense, but i really want to understand better the math behind the concept of a spinor.

thanks

- #2

Simon Bridge

Science Advisor

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

- #3

- 33

- 2

(1) So

(2) Im still dont found a book which make that connection (about spinor space and complex vector space) can you indicate me one?

thanks again

- #4

mathman

Science Advisor

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- #5

chiro

Science Advisor

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You might want to look at the multiplication table / matrix structure to understand the algebra in specific detail.

It also helps to look at complex numbers in terms of Grassmann algebras (exterior/inner products and bi-vectors) and in the different high level complex number algebras in a variety of dimension and understanding the geometric meaning of how the multiplication tables correspond to rotations and scaling in a particular space.

The linear algebra decomposition of a space in terms of rotation, scaling, and possible translation can help visualize what is really going on.

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