# Higher homotopy associativity in the Harris decomposition of Lie groups

Date:

2019/04/22 Mon 16:30 - 18:00

Room:

Room 609, Building No.6

Speaker:

Daisuke Kishimoto

Affiliation:

Kyoto University

Abstract:

For certain pairs of Lie groups $(G,H)$ and primes $p$, Harris shows a relation of the $p$-localized homotopy groups of $G$ and $H$. This is reinterpreted as a $p$-local homotopy equivalence $G\simeq_{(p)}H\times G/H$, and so there is a projection $G_{(p)}\to H_{(p)}$. We show how much this projection preserves the higher homotopy associativity.

This is a joint work with T. Miyauchi.