An infinite product formula forUq(sl(2)) dynamical coboundary element
نویسندگان
چکیده
منابع مشابه
An infinite product formula for Uq(sl(2)) dynamical coboundary element
An infinite product formula for U q (sl(2)) dynamical coboundary element. Abstract We give a short summary of results and conjectures in the theory of dynamical quantum group related to the dynamical coboundary equation also known as IRF-Vertex transform. O.Babelon has shown that the dynamical twist F (x) of Uq(sl(2)) is a dynamical coboundary M (x) i.e F (x)M1(xq h 2)M2(x) = ∆(M (x)). We give ...
متن کاملRecursive Coboundary Formula for Cycles in Acyclic Chain Complexes
Given an (m − 1)-dimensional cycle z in a finitely generated acyclic chain complex, we want to explicitly construct an m-dimensional chain Cob(z) whose algebraic boundary is z. The acyclicity of the chain complex implies that a solution exists (it is not unique) but the traditional linear algebra methods of finding it lead to a high complexity of computation. We are searching for more efficient...
متن کاملMatrix product states for dynamical simulation of infinite chains.
We propose a new method for computing the ground state properties and the time evolution of infinite chains based on a transverse contraction of the tensor network. The method does not require finite size extrapolation and avoids explicit truncation of the bond dimension along the evolution. By folding the network in the time direction prior to contraction, time-dependent expectation values and...
متن کاملQuantum Dynamical coBoundary Equation for finite dimensional simple Lie algebras
For a finite dimensional simple Lie algebra g, the standard universal solution R(x) ∈ Uq(g) ⊗2 of the Quantum Dynamical Yang–Baxter Equation quantizes the standard trigonometric solution of the Classical Dynamical Yang–Baxter Equation. It can be built from the standard R–matrix and from the solution F (x) ∈ Uq(g) ⊗2 of the Quantum Dynamical coCycle Equation as R(x) = F 21 (x)R F12(x). F (x) can...
متن کاملInfinite Factorial Dynamical Model
We propose the infinite factorial dynamic model (iFDM), a general Bayesian nonparametric model for source separation. Our model builds on the Markov Indian buffet process to consider a potentially unbounded number of hidden Markov chains (sources) that evolve independently according to some dynamics, in which the state space can be either discrete or continuous. For posterior inference, we deve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/2/005