@article{SIGMA_2020_16_a34,
author = {Vitaly Tarasov and Filipp Uvarov},
title = {Duality for {Knizhnik{\textendash}Zamolodchikov} and {Dynamical} {Operators}},
journal = {Symmetry, integrability and geometry: methods and applications},
year = {2020},
volume = {16},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a34/}
}
Vitaly Tarasov; Filipp Uvarov. Duality for Knizhnik–Zamolodchikov and Dynamical Operators. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a34/
[1] Cheng S.-J., Wang W., Dualities and representations of Lie superalgebras, Graduate Studies in Mathematics, 144, Amer. Math. Soc., Providence, RI, 2012 | DOI | MR | Zbl
[2] Etingof P., Frenkel I., Kirillov A., Lectures on representation theory and Knizhnik–Zamolodchikov equations, Mathematical Surveys and Monographs, 58, Amer. Math. Soc., Providence, RI, 1998 | DOI | MR | Zbl
[3] Etingof P., Varchenko A., “Dynamical Weyl groups and applications”, Adv. Math., 167 (2002), 74–127, arXiv: math.QA/0011001 | DOI | MR | Zbl
[4] Felder G., Markov Y., Tarasov V., Varchenko A., “Differential equations compatible with KZ equations”, Math. Phys. Anal. Geom., 3 (2000), 139–177, arXiv: math.QA/0001184 | DOI | MR | Zbl
[5] Tarasov V., Varchenko A., “Difference equations compatible with trigonometric KZ differential equations”, Int. Math. Res. Not., 2000 (2000), 801–829, arXiv: math.QA/0002132 | DOI | MR | Zbl
[6] Tarasov V., Varchenko A., “Duality for Knizhnik–Zamolodchikov and dynamical equations”, Acta Appl. Math., 73 (2002), 141–154, arXiv: math.QA/0112005 | DOI | MR | Zbl
[7] Tarasov V., Varchenko A., “Dynamical differential equations compatible with rational qKZ equations”, Lett. Math. Phys., 71 (2005), 101–108, arXiv: math.QA/0403416 | DOI | MR | Zbl
[8] Toledano-Laredo V., “The trigonometric Casimir connection of a simple Lie algebra”, J. Algebra, 329 (2011), 286–327, arXiv: 1003.2017 | DOI | MR | Zbl
[9] Toledano-Laredo V., Yang Y., The elliptic Casimir connection of a simple Lie algebra, arXiv: 1805.12261 | MR
[10] Vicedo B., Young C., “$(\mathfrak{gl}_M,\mathfrak{gl}_N)$-dualities in Gaudin models with irregular singularities”, SIGMA, 14 (2018), 040, 28 pp., arXiv: 1710.08672 | DOI | MR | Zbl