[Day 2] Minicourse: Effective methods in PI-theory II - Vladimir Dotsenko
Автор: LieJor Online Seminar
Загружено: 2023-03-22
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Minicourse: Effective methods in PI-theory II
Vladimir Dotsenko (Université de Strasbourge)
This is a continuation of the mini-course given at XXVI Escola de Álgebra in Curitiba (http://www.mat.ufpr.br/eventos/algebr.... It will be focused on learning how to apply shuffle operads and Gröbner bases for operads to study certain properties of varieties of algebras.
Tentative plan of the mini-course:
1. A criterion for Poincaré--Birkhoff--Witt properties in the case of functors of change of multiplication. Examples and counterexamples.
2. A criterion for Poincaré--Birkhoff--Witt properties in the case of universal multiplicative enveloping algebras. Examples and counterexamples.
3. A criterion for freeness of universal multiplicative enveloping algebras. Its relationship with the Nielsen--Schreier property. Examples and counterexamples.
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