The action of the symmetric group on the multilinear component of the free Filippov algebra
Mihalis Maliakas (National and Kapodistrian University of Athens, Greece)
| Mon Sep 14, 15:00-16:00 (5 months from now) | |
Abstract: A Filippov algebra is a vector space equipped with a skew-symmetric $n$-linear form that satisfies the generalized Jacobi identity. The symmetric group $S_m$, $m=(n-1)k+1$, acts naturally on the multilinear component of the free Filippov algebra corresponding to $k$-brackets. We will discuss some recent results on the irreducible decomposition of this representation in characteristic zero. This talk is based on joint work with Dimitra-Dionysia Stergiopoulou.
quantum algebrarings and algebras
Audience: researchers in the topic
European Non-Associative Algebra Seminar
| Organizers: | Ivan Kaygorodov*, Salvatore Siciliano, Mykola Khrypchenko, Jobir Adashev |
| *contact for this listing |
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