Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 110-146
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The quantum $SL(3, \mathbb{C})$ invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of Sklyanin's $B$-operator which define the representation of separated variables of the model.
@article{ZNSL_2018_473_a7,
author = {S. E. Derkachov and P. A. Valinevich},
title = {Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of {Sklyanin} $B$-operator},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {110--146},
publisher = {mathdoc},
volume = {473},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a7/}
}
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AU - S. E. Derkachov
AU - P. A. Valinevich
TI - Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
JO - Zapiski Nauchnykh Seminarov POMI
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S. E. Derkachov; P. A. Valinevich. Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 110-146. http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a7/