On the Spectral Theory of Quantum Vertex Operators

  • Pavel I. Etingof
Part of the CRM Series in Mathematical Physics book series (CRM)


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
$${U_q}(\widehat {{_2}})$$
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.


Spectral Theory Quantum Group Vertex Operator Homogeneous Component Homogeneous Vector 
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© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Pavel I. Etingof

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