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Italian Representation Theory Seminar

Lars Thorge Jensen, Université Clermont Auvergne

Cellularity of the p-Kazhdan-Lusztig basis for symmetric groups

Organizer's time: 2021-05-07 15:00 Europe/Rome

Duration: 1 hour

Access information: The seminar will be held on Microsoft Teams.

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After recalling the most important results about Kazhdan-Lusztig cells for symmetric groups, I will introduce the p-Kazhdan-Lusztig basis and give a complete description of p-cells for symmetric groups. After that I will mention important consequences of the Perron-Frobenius theorem for p-cells which provide one of the last missing ingredients for the proof of the cellularity of the p-Kazhdan-Lusztig basis in finite type A.

Submitted by: Andrea Appel