"R-matrix"의 두 판 사이의 차이

2009년 12월 29일 (화) 16:04 판

introduction

R-matrix has entries from Boltzman weights.
R-matrix naturally appears as intertwiners of tensor product of two evaluation modules

R-matrix and Braid groups

For \(R\) matrix on \(V \otimes V\), define \(\bar R=p\circ R\) where \(p\) is the permutation map.

\(\bar R_i=1\otimes \cdots \otimes\bar R \cdots \otimes 1\), \(\bar R_i\) sitting in i and i+1 th slot.

Then YB reduces to

\(\bar R_i\bar R_j =\bar R_j\bar R_i\) whenever \(|i-j| \geq 2 \)

\(\bar R_i\bar R_{i+1}\bar R_i= \bar R_{i+1}\bar R_i \bar R_{i+1}\)

which are the Braid group relations.

related items

books

encyclopedia

http://ko.wikipedia.org/wiki/
http://en.wikipedia.org/wiki/
http://en.wikipedia.org/wiki/
http://en.wikipedia.org/wiki/
Princeton companion to mathematics(Companion_to_Mathematics.pdf)

blogs

구글 블로그 검색

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+<h5>introduction</h5>
+* R-matrix has entries from Boltzman weights.
+* R-matrix naturally appears as intertwiners of tensor product of two evaluation modules
+<h5 style="margin: 0px; line-height: 2em;">R-matrix and Braid groups</h5>
+For <math>R</math> matrix on <math>V \otimes V</math>, define <math>\bar R=p\circ R</math> where <math>p</math> is the permutation map.
+<math>\bar R_i=1\otimes \cdots \otimes\bar R \cdots \otimes 1</math>, <math>\bar R_i</math> sitting in i and i+1 th slot.
+Then YB reduces to
+<math>\bar R_i\bar R_j =\bar R_j\bar R_i</math> whenever <math>|i-j| \geq 2 </math>
+<math>\bar R_i\bar R_{i+1}\bar R_i= \bar R_{i+1}\bar R_i \bar R_{i+1}</math>
+which are the [[Braid group]] relations.
+<h5>related items</h5>
+<h5>books</h5>
+* [[2009년 books and articles|찾아볼 수학책]]
+* http://gigapedia.info/1/
+* http://gigapedia.info/1/
+* http://gigapedia.info/1/
+* http://gigapedia.info/1/
+* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
+<h5>encyclopedia</h5>
+* http://ko.wikipedia.org/wiki/
+* http://en.wikipedia.org/wiki/
+* http://en.wikipedia.org/wiki/
+* http://en.wikipedia.org/wiki/
+* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
+<h5>blogs</h5>
+*  구글 블로그 검색<br>
+** http://blogsearch.google.com/blogsearch?q=
+** http://blogsearch.google.com/blogsearch?q=
+** http://blogsearch.google.com/blogsearch?q=
+<h5>articles</h5>
+*   <br>
+* [[2010년 books and articles|논문정리]]
+* http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
+* http://www.zentralblatt-math.org/zmath/en/
+* http://pythagoras0.springnote.com/
+* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
+* http://www.ams.org/mathscinet
+* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
+* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
+* http://dx.doi.org/
+<h5>TeX </h5>