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
87. 16/09/2024 Jörg Feldvoss (University of South Alabama, USA)
Title: Semi-simple Leibniz algebras
Abstract: Leibniz algebras were introduced by Blo(c)h in the 1960’s and rediscovered by Loday in the 1990’s as non-anticommutative analogues of Lie algebras. Many results for Lie algebras have been proven to hold for Leibniz algebras, but there are also several results that are not true in this more general context. In my talk, I will investigate the structure of semi-simple Leibniz algebras. In particular, I will prove a simplicity criterion for (left) hemi-semidirect products of a Lie algebra g and a (left) g-module. For example, in characteristic zero every finite-dimensional simple Leibniz algebra is such a hemi-semidirect product. But this also holds for some infinite-dimensional Leibniz algebras or sometimes in non-zero characteristics. More generally, the structure of finite- dimensional semi-simple Leibniz algebras in characteristic zero can be reduced to the well-known structure of finite-dimensional semi-simple Lie algebras and their finite-dimensional irreducible modules. If time permits, I will apply these structure results to derive some properties of finite-dimensional semi-simple Leibniz algebras in characteristic zero and other Leibniz algebras that are hemi-semidirect products.
Future talks:
88. 23/09/2024 Ignacio Bajo (University of Vigo, Spain)
89. 30/09/2024 Arne Van Antwerpen (Ghent University, Belgium)
90. 07/10/2024 Ana Agore (Institute of Mathematics of the Romanian Academy, Romania)
91. 14/10/2024 Slaven Kožić (University of Zagreb, Croatia)
92. 21/10/2024 Ilya Chevyrev (University of Edinburgh, UK)
93. 28/10/2024 Raschid Abedin (ETH Zürich, Switzerland)
94. 04/11/2024 Fernando Montaner (University of Zaragoza, Spain)
95. 11/11/2024 Carla Rizzo (University of Palermo, Italy)
96. 18/11/2024 Pablo Zadunaisky (University of Buenos Aires, Argentina)
97. 25/11/2024 Carlos André (University of Lisbon, Portugal)
98. 02/12/2024 David Fernández (Technical University of Madrid, Spain)
99. 09/12/2024 Omar León Sánchez (University of Manchester, UK)
100. 16/12/2024 Alicia Tocino Sánchez (University of Málaga, Spain)
23/12/2024 XV Non-Associative Day in Online´24
101. 06/01/2025 David Stewart (University of Manchester, UK)
102. 13/01/2025 Dmitry Millionshchikov (Lomonosov University, Russia)
103. 20/01/2025 Manuel Mancini (University of Palermo, Italy)
104. 27/01/2025 Roman Stasenko (HSE University, Russia)
105. 03/02/2025 Lina Oliveira (IST University of Lisboa, Portugal)
106. 10/02/2025 Andrea Sciandra (University of Turin, Italy)
107. 17/02/2025 Guy Blachar (Bar-Ilan University, Israel)
108. 24/02/2025 Leandro Vendramin (Free University of Brussels, Belgium)
111. 17/03/2025 Anna Fino (University of Turin, Italy)
112. 24/03/2025 Bruno Vallette (Sorbonne Paris North University, France)
Organizers
Ivan Kaygorodov • Salvatore Siciliano • Mykola Khrypсhenko • Jobir Adashev