Skip to main content

One post tagged with "Algorithms"

View All Tags

Composition factors and representation stability

· 15 min read
Amin Saied
Member of Technical Staff, Microsoft AI

In 2017, my advisor asked me to compute a family of coefficients cλμc_{\lambda\mu} arising in the study of the Johnson homomorphism of the mapping class group.

Their connection with mapping class groups is not essential to this story. Instead, I want to describe how to compute them efficiently, and how expanding the range of computation revealed hints of a deeper structure among the coefficients.[^thesis]