클리퍼드 대수
http://bomber0.myid.net/ (토론)님의 2011년 11월 19일 (토) 15:24 판 (피타고라스님이 이 페이지의 이름을 Clifford algebras and spinors로 바꾸었습니다.)
introduction
- #
- quadratic space \((V,Q)\)
- Q : non-degenerate quadratic form, defines a symmetric bilinear form \(<x,y>\)
- Clifford algebra : associative algebra generated by vectors in V with relations
- \(v^2=Q(v)\)
- \(vw+wv=2<w,v>\)
- Clifford algebras may be thought of as quantizations (cf. quantization (physics), Quantum group) of the exterior algebra, in the same way that the Weyl algebra is a quantization of the symmetric algebra.
Pauli matrices
- 8-dimensional real algebra
- C(E_{3}) Clifford algebra of the Euclidean space E_{3}
Dirac matrices
history
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Lachièze-Rey, Marc. 2009. “Spin and Clifford Algebras, an Introduction”. Advances in Applied Clifford Algebras 19 (3-4): 687-720. doi:10.1007/s00006-009-0187-y.
- http://www.math.ucla.edu/~vsv/papers/ch5.pdf
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
- http://mathoverflow.net/search?q=
- http://math.stackexchange.com/search?q=
- http://math.stackexchange.com/search?q=
- http://physics.stackexchange.com/search?q=
- http://physics.stackexchange.com/search?q=
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field