Alternating sign matrix theorem

수학노트
http://bomber0.myid.net/ (토론)님의 2012년 1월 31일 (화) 09:21 판
둘러보기로 가기 검색하러 가기
introduction

PDF

descending plane partitions and alternating sign matrix  http://math.berkeley.edu/~reshetik/RTG-semin-fall-2010/Philippe.pdf

 

 

1+1 dimensional Lorentzian quantum gravity

exists quantities \phi such that if \phi(g,a)=\phi'(g',a') then [T(a,g),T(a',g')]=0

\phi(g,a)=\frac{1-g^2(1-a^2)}{ag}=q+q^{-1}

 

 

DPP to lattice paths

P. Lalonde, Lattice paths and the antiautomorphism of the poset of descending plane partitions, Discrete Math. 271 (2003) 311–319

Descending plane partitions and rhombus tilings of a hexagon with a triangular hole C. Krattenthaler, 2006

 

 

 

from ASM to 6 vertex model
  • Kuperberg
  • Izergin - Korepin

 

 

 

history

 

 

related items

 

encyclopedia

 

 

 

 

books

 

 

 

 

expositions

http://www.macalester.edu/~bressoud/talks/

http://www.macalester.edu/~bressoud/talks/2009/asm-Moravian.pdf

 

 

 

articles

 

 

experts on the field