Session S16 - Quantum symmetries

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Pre-Nichols algebras of Cartan, super and standard type with finite Gelfand-Kirillov dimension.

Emiliano Campagnolo

FAMAF Universidad Nacional de Córdoba, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract: The lift method proposes a recipe to classify dotted Hopf algebras by fixing the coradical and the infinitesimal braid. In the non-finite-dimensional context, the pre-Nichols algebras use this recipe. Previously Andruskiewitsch-Sanmarco reduced the problem of classifying pre-Nichols algebras of finite dimension Gelfand-Kirillov when the braid was of Cartan type by introducing the eminent pre-Nichols algebra and showing its relation to the introduced distinguished pre-Nichols algebra. by Angiono. Following the same direction, we will present how we continue the work when the braid is of the super or standard type.

Joint work with Iván Angiono (CONICET-Universidad Nacional de Córdoba). and Guillermo Sanmarco (CONICET-Universidad Nacional de Córdoba)..

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