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Refined Action of the Ring of Symmetric Functions on Fock Space

组织者

赛蒙·阿尔塔莫诺夫 , 帕维尔·尼基丁 , 沙米尔·沙基洛夫

演讲者

Maksim Karev

时间

2025年02月12日 13:00 至 14:30

地点

A3-4-301

线上

Zoom 242 742 6089 (BIMSA)

摘要

There are two well-established actions of the ring of symmetric functions on Fock space. The first action is derived from the Fock space's representation as a direct sum of centers of symmetric group algebras. The second action emerges from viewing Fock space as the algebra of endomorphisms associated with the representation of the hyperoctohedral group induced to the symmetric group. In this talk, I will present a three-parameter family of representations of the ring of symmetric functions on Fock space that encompasses both of these known actions. This work is a collaboration in progress with R. Fesler, M. Hahn, and H. Markwig.