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Séminaire Doctorants

organisé par l'équipe DOCT

  • Xiabing Ruan

    From and Beyond Lie Algebras: Enveloping Algebras and PBW theorem

    16 avril 2026 - 16:30Salle de conférences IRMA

    Non-associative algebras arise in many mathematical settings, with the Lie algebra being a significant example. A powerful tool to study a Lie algebra is its universal enveloping algebra, which is an associative algebra, whose representation coincides with the representation of that Lie algebra. The classical Poincaré-Birkhoff-Witt (PBW) theorem plays a role by giving a vector space basis of the enveloping algebra. We will generalise the notion of enveloping algebra to arbitrary (non-associative) algebra and present the generalised PBW theorem via giving examples. If time permits, we could talk about a more generalised perspective — universal enveloping Operads.

  • Yufei Qian

    TBA

    30 avril 2026 - 16:30Salle de conférences IRMA

    TBA