科研之友
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摘要
Let g be a simple Lie algebra and V[0] = V-1 circle times center dot center dot center dot circle times V-n[0] be the zero weight subspace of a tensor product of g-modules. The trigonometric KZB operators are commuting differential operators acting on V[0]-valued functions on the Cartan subalgebra of g. Meromorphic eigenfunctions of the operators are constructed by the Bethe ansatz. We introduce a symmetric bilinear form on a suitable space of functions such that the operators become symmetric, and the square of the norm of a Bethe eigenfunction equals the Hessian of the master function at the corresponding critical point.
- 出版日期2013
