2002/07/31 by Marco Rossi, Robert Weston · 36 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Block (permutation group theory) #Connection (principal bundle) #Construct (python library) #Expression (computer science) #Generalization #Matrix Theory and Algorithms #Random Matrices and Applications #Representation (politics) #TRACE (psycholinguistics) #cond-mat.stat-mech #hep-th #math-ph #math.MP #math.QA #msc:81R12 #msc:81T40 #msc:82B23
paper · pdf · doi:10.1088/0305-4470/35/47/304
published in Journal of Physics A Mathematical and General 35(47), 10015-10032 (Institute of Physics) · 22 pages, Latex2e. This replacement is a revised version that includes a simple explicit expression for the Q matrix for the 6-vertex model
arxiv created 2002/10/02 · openalex publication_date 2002/11/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we construct a Q -operator as a trace of a representation of the universal R -matrix of U q over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q -oscillator representations used previously. We derive generalized T – Q relations in which three of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q -operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.