모듈라 군(modular group)

간단한 소개

• \(\operatorname{SL}(2,\mathbb{Z})\)
  
  • 정수계수 \(2\times 2\) 행렬로 행렬식이 1인 원소
  • \(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\in\operatorname{SL}(2,\mathbb{Z}) \iff ad-bc=1\)

 

 

fundamental domain

• Modular group 에 의한 upper-half plane의 fundamental domain은 아래 그림에서 하얀색과 검은색 삼각형 한쌍으로 구성됨
  
  • \( (2, 3, \infty)\) 삼각형

 

 

2010년 국제수학자대회 로고

[/pages/3003492/attachments/1370130 logo.jpg]

The logo for ICM 2010 depicts the standard fundamental domain for the modular group SL(2,Z) acting on the upper half plane. The formula written along the circular arc is a famous conjecture of the Indian mathematician Srinivasa Ramanujan proved by Pierre Deligne in 1973. The quotation in Sanskrit at the bottom of the logo is from the Rig Veda an ancient Indian religious work dating back to more than 1000 years before the start of the Christian era. It translates as "May good ideas come to us from everywhere."

• http://www.icm2010.org.in/welcome.php

 

 

 

 

하위페이지

• 0 토픽용템플릿
  
  • 0 상위주제템플릿
    

 

 

 

 

 

 

많이 나오는 질문

• 네이버 지식인
  
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

 

관련된 다른 주제들

• 비유클리드 기하학
• Farey series

 

관련도서 및 추천도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
  • http://book.daum.net/search/mainSearch.do?query=

 

참고할만한 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/modular_group
• 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=
• 다음백과사전 http://enc.daum.net/dic100/search.do?q=
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=kor_term&fstr=모듈라
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=modular

 

관련기사

네이버 뉴스 검색 (키워드 수정)

• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

 

블로그

• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=

 

이미지 검색

• http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=
• http://images.google.com/images?q=
• http://www.artchive.com

 

동영상

• http://www.youtube.com/results?search_type=&search_query=