Mathematics Colloquium Date: Wednesday, 6 September 2023 Time: 3:30 - 4:30 pm Venue: Seminar Hall Cyclic characters of alternating group Amrutha P Chennai Mathematical Institute. 06-09-23 Abstract The cyclic characters of a group G are the characters induced from the cyclic subgroups of G. In the case of classical Coxeter groups, Kraskiewicz and Weyman worked out the decomposition into irreducible characters of characters induced from the cyclic subgroup generated by a Coxeter element. Jöllenbeck and Schocker gave a general approach for the case of symmetric group, S_n, by considering the cyclic group generated by any element of S_n. The cyclic characters of S_n are described in terms of a statistic on the Young tableaux called the multi major index. In this talk, we will see a description of the cyclic characters of the alternating group. This is joint work with Amritanshu Prasad and Velmurugan S.
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