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$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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It was shown recently that many of the Gustafson integrals appear in studies of the $\mathrm{SL}(2,\mathbb{R})$ spin chain models. One can hope to obtain a generalization of the Gustafson integrals considering spin chain models with a different symmetry group. In this paper we analyse the spin magnet with the $\mathrm{SL}(2,\mathbb{C})$ symmetry group in case of open and periodic boundary conditions and derive several new integrals.
Keywords: Baxter operators; separation of variables. 
@article{SIGMA_2018_14_a29,
     author = {Sergey \'E. Derkachov and Alexander N. Manashov and Pavel A. Valinevich},
     title = {$\mathrm{SL}(2,\mathbb{C})$ {Gustafson} {Integrals}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a29/}
}
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Sergey É. Derkachov; Alexander N. Manashov; Pavel A. Valinevich. $\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a29/

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