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KLRW algebras of finite type

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  • UserAndrew Mathas (University of Sydney)
  • ClockWednesday 16 July 2025, 11:00-12:00
  • HouseExternal.

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GCLW01 - Modular Lie theory

The KLRW algebras are a generalisation of the Khovanov–Lauda–Rouquier algebras, which were introducedby Webster. These algebras are defined diagrammatically, and they are somewhat scary algebras as theyhave red strings and ghost strings. As with the KLR algebras, the KLRW algebras categorify the highest weightmodules of the corresponding quantum group. In particular, this implies that the simple modules of thesealgebras are indexed by the vertices of the corresponding crystal graphs. I will describe how to constructbases of the KLRW algebras using paths from the crystal graphs. This is joint work with Dani Tubbenhauer

This talk is part of the Isaac Newton Institute Seminar Series series.

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