"Grassmannian variety"의 두 판 사이의 차이

2011년 4월 30일 (토) 04:55 판

introduction

minors and plucker relations

\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

http://www.google.com/search?hl=en&tbs=tl:1&q=

related items

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

question and answers(Math Overflow)

blogs

구글 블로그 검색
- http://blogsearch.google.com/blogsearch?q=
- http://blogsearch.google.com/blogsearch?q=
http://ncatlab.org/nlab/show/HomePage

experts on the field

http://arxiv.org/

@@ 1번째 줄: / 1번째 줄: @@
+<h5>introduction</h5>
+* [[minors and plucker relations]]
+\definition
+real Grassmannian
+<math>Gr_{kn}(\mathbb{R}) = \{V\subset \mathbb{R}^n | \dim V = k\}</math>
+can represent element by full rank k x n matrix
+<math>Gr_{kn}(\mathbb{R})=GL_k\Mat(k,n)</math>
+Plucker embedding
+<math>Gr_{kn}(\mathbb{R}) \to \mathbb{P}^{n-1}</math>
+<math>P_{I}(A)</math> = determinant of submatrix of A  with column set I
+<h5>Plucker coordinate</h5>
+<h5>example Gr(2,4)</h5>
+<h5>history</h5>
+* http://www.google.com/search?hl=en&tbs=tl:1&q=
+<h5>related items</h5>
+<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
+* http://en.wikipedia.org/wiki/
+* http://www.scholarpedia.org/
+* [http://eom.springer.de/ http://eom.springer.de]
+* http://www.proofwiki.org/wiki/
+* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
+<h5>books</h5>
+* [[2011년 books and articles]]
+* http://library.nu/search?q=
+* http://library.nu/search?q=
+<h5>expositions</h5>
+* [[#]]
+<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
+* 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/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
+* http://dx.doi.org/
+<h5>question and answers(Math Overflow)</h5>
+* 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=
+<h5>blogs</h5>
+*  구글 블로그 검색<br>
+**  http://blogsearch.google.com/blogsearch?q=<br>
+** http://blogsearch.google.com/blogsearch?q=
+* http://ncatlab.org/nlab/show/HomePage
+<h5>experts on the field</h5>
+* http://arxiv.org/
+<h5>links</h5>
+* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
+* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
+* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
+* http://functions.wolfram.com/