Part of the CRM Series in Mathematical Physics book series (CRM)
On the Spectral Theory of Quantum Vertex Operators
We prove a conjecture from Ref.1 on the asymptotics of the composition of n quantum vertex operators for the quantum affine algebra Inline Equation
as n goes to oo. For this purpose we define and study the leading eigenvalue and eigenvector of the product of two components of the quantum vertex operator. This eigenvector and the corresponding eigenvalue were recently computed by M. Jimbo. The results of his computation are given in Section 4.
KeywordsSpectral Theory Quantum Group Vertex Operator Homogeneous Component Homogeneous Vector
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- 7.M. Jimbo and T. Miwa. Algebraic Analysis of Solvable Lattice Models, volume 85 of CBMS Regional Conference Series in Mathematics. Amer. Math. Soc., Providence, RI, 1995.Google Scholar
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