Geodesic
On the~quantum $\mathfrak{osp}(1|2\ell)$ Toda chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 180-195

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The orthosymplectic Lie superalgebra $\mathfrak{osp}(1|\,2\ell)$ is the closest superanalogue of standard Lie algebras. We demonstrate that the corresponding $\mathfrak{osp}(1|\,2\ell)$ Toda chain is an instance of the $BC_\ell$ Toda chain. The underlying reason for this relation is discussed.
Keywords: orthosymplectic Lie superalgebra, $BC$-type root system, quantum Toda chain. 
@article{TMF_2021_208_2_a1,
     author = {A. A. Gerasimov and D. R. Lebedev and S. V. Oblezin},
     title = {On the~quantum $\mathfrak{osp}(1|2\ell)$ {Toda} chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {180--195},
     publisher = {mathdoc},
     volume = {208},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a1/}
}
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A. A. Gerasimov; D. R. Lebedev; S. V. Oblezin. On the~quantum $\mathfrak{osp}(1|2\ell)$ Toda chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 180-195. http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a1/