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math.QA2015★ 8 cited
Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra
Andrea Appel, Valerio Toledano-Laredo
Let g be a symmetrisable Kac-Moody algebra and V an integrable g-module in category O. We show that the monodromy of the (normally ordered) rational Casimir connection on V can be…
math.QA2015★ 8 cited
Uniqueness of Coxeter structures on Kac-Moody algebras
Andrea Appel, Valerio Toledano-Laredo
Let g be a symmetrisable Kac-Moody algebra, and U_h(g) the corresponding quantum group. We showed in arXiv:1610.09744 and arXiv:1610.09741 that the braided quasi-Coxeter structure…