Grassmannian variety
http://bomber0.myid.net/ (토론)님의 2011년 4월 30일 (토) 04:55 판
introduction
\definition
real Grassmannian
\(Gr_{kn}(\mathbb{R}) = \{V\subset \mathbb{R}^n | \dim V = k\}\)
can represent element by full rank k x n matrix
\(Gr_{kn}(\mathbb{R})=GL_k\Mat(k,n)\)
Plucker embedding
\(Gr_{kn}(\mathbb{R}) \to \mathbb{P}^{n-1}\)
\(P_{I}(A)\) = determinant of submatrix of A with column set I
Plucker coordinate
example Gr(2,4)
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
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