18 citations · 54 across the 17 of their papers we have counts for
Showing 2004 · math.QAShow all
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math.QA2004
Selberg Integrals
Alexander Varchenko
The paper is written for Kluwer's Encyclopaedia of Mathematics.
math.QA2004★ 4 cited
Bethe Ansatz for Arrangements of Hyperplanes and the Gaudin Model
Alexander Varchenko
We show that the Shapovalov norm of a Bethe vector in the Gaudin model is equal to the Hessian of the logarithm of the corresponding master function at the corresponding isolated c…
math.QA2004★ 2 cited
Norm of a Bethe Vector and the Hessian of the Master Function
Evgeny Mukhin, Alexander Varchenko
We show that the Bethe vectors are non-zero vectors in the sl_{r+1} Gaudin model. Moreover, we show that the norm of a Bethe vector is equal to the Hessian of the corresponding mas…