Algebra Seminar: R-free modules for generalized Weyl algebras
- Date: 4 November 2025, 15:15–17:00
- Location: Ångström Laboratory, 64119 + Zoom
- Type: Seminar
- Lecturer: Jonathan Nilsson (Linköping)
- Organiser: Matematiska institutione
- Contact person: Volodymyr Mazorchuk
Jonathan Nilsson (Linköping) gives this seminar. Welcome to join!
Abstract: Generalized Weyl Algebras (GWAs) are ring extensions that encompass a wide range of noncommutative algebras, including the Weyl algebra, quantum groups, and certain Lie algebras. In this talk I will discuss their representation theory, with emphasis on a new class of R-free modules obtained by lifting modules that are free over the base ring. I will discuss the classification of such modules, and in the case when R is a PID, present a combinatorial description of their composition series. I will also show how these R-free modules are connected to the classical weight modules over GWAs. The talk is based on joint work with Samuel Lopes.
The seminar will be held via Zoom link (meeting ID: 645 5572 6999, please contact the organizer for passcode)
This is a seminar in our algebra seminar series.