European Non-Associative Algebra Seminar
Activity: Monday, 15:00 (UTC+0)
[Summer time:] UK, Portugal: 16:00; Spain, Italy, France, etc.: 17:00
For e-mail notifications of talks, please register your e-mail HERE.
A special issue dedicated to European Non-Associative Algebra Seminar will be published in
70. 20/05/2024 Anastasia Doikou (Heriot-Watt University, UK)
Title: Parametric set-theoretic Yang-Baxter equation: p-racks, solutions & quantum algebras
Abstract: The theory of the parametric set-theoretic Yang-Baxter equation is established from a purely algebraic point of view. We introduce generalizations of the familiar shelves and racks named parametric (p)-shelves and racks. These objects satisfy a "parametric self-distributivity" condition and lead to solutions of the Yang-Baxter equation. Novel, non-reversible solutions are obtained from p-shelve/rack solutions by a suitable parametric twist, whereas all reversible set-theoretic solutions are reduced to the identity map via a parametric twist. The universal algebras associated to both p-rack and generic parametric set-theoretic solutions are next presented and the corresponding universal R-matrices are derived. By introducing the concept of a parametric coproduct we prove the existence of a parametric co-associativity. We show that the parametric coproduct is an algebra homomorphsim and the universal R-matrices intertwine with the algebra coproducts.
Future talks:
71. 27/05/2024 Yvain Bruned (University of Lorraine, France)
72. 03/06/2024 Claudemir Fideles (University of Campinas, Brazil)
73. 10/06/2024 Erhard Neher (University of Ottawa, Canada)
74. 17/06/2024 Paul Laubie (University of Strasbourg, France)
75. 24/06/2024 Rita Fioresi (University of Bologna, Italy)
76. 01/07/2024 Nurlan Ismailov (Astana IT University, Kazakhstan)
77. 08/07/2024 Fernando Montaner (University of Zaragoza, Spain)
78. 15/07/2024 Andrey Lazarev (Lancaster University, UK)
79. 22/07/2024 Ioannis Dokas (National and Kapodistrian University of Athens, Greece)
80. 29/07/2024 Érica Fornaroli (State University of Maringá, Brazil)
81. 05/08/2024 Łukasz Kubat (University of Warsaw, Poland)
82. 12/08/2024 Pierre Catoire (University of the Littoral Opal Coast, France)
83. 19/08/2024 Yuly Billig (Carleton University, Canada)
84. 26/08/2024 Jonas Deré (Catholic University of Leuven, Belgium)
85. 02/09/2024 Isabel Martin-Lyons (Keele University, UK)
86. 09/09/2024 Dominique Manchon (Clermont Auvergne University, France)
87. 16/09/2024 Jörg Feldvoss (University of South Alabama, USA)
88. 23/09/2023 Jorge Garcés (Technical University of Madrid, Spain)
89. 30/09/2024 Arne Van Antwerpen (Ghent University, Belgium)
90. 07/10/2024 Ana Agore (Free University of Brussels, Belgium)
Organizers
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev