Geodesic
Gaudin Hamiltonians generate the Bethe algebra of a~tensor power of the vector representation of~$\frak{gl}_N$
Algebra i analiz, Tome 22 (2010) no. 3, pp. 177-190.

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It is shown that the Gaudin Hamiltonians $H_1,\dots,H_n$ generate the Bethe algebra of the $n$-fold tensor power of the vector representation of $\frak{gl}_N$. Surprisingly, the formula for the generators of the Bethe algebra in terms of the Gaudin Hamiltonians does not depend on $N$. Moreover, this formula coincides with Wilson's formula for the stationary Baker–Akhiezer function on the adelic Grassmannian.
Keywords: Gaudin model, Bethe algebra, Calogero–Moser space. 
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E. Mukhin; V. Tarasov; A. Varchenko. Gaudin Hamiltonians generate the Bethe algebra of a~tensor power of the vector representation of~$\frak{gl}_N$. Algebra i analiz, Tome 22 (2010) no. 3, pp. 177-190. http://geodesic.mathdoc.fr/item/AA_2010_22_3_a8/

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