Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type

Autor:	Angiono, Iván, Campagnolo, Emiliano, Sanmarco, Guillermo
Rok vydání:	2021
Předmět:	Mathematics - Quantum Algebra 16T05 16T20 17B37 17B62
Druh dokumentu:	Working Paper
Popis:	We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram of modular, supermodular or unidentified type is a quotient of the distinguished pre-Nichols algebra introduced by the first-named author, up to two exceptions. For both of these exceptional cases, we provide a pre-Nichols algebra that substitutes the distinguished one in the sense that it projects onto all finite GK-dimensional pre-Nichols algebras. We build these two substitutes as non-trivial central extensions with finite GK-dimension of the corresponding distinguished pre-Nichols algebra. We describe these algebras by generators and relations, and provide a basis. This work essentially completes the study of eminent pre-Nichols algebras of diagonal type with connected diagram and finite-dimensional Nichols algebra. Comment: 21 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.11217 Zobrazit plný text záznamu View this record from Arxiv