Zulip Chat Archive

Stream: new members

Topic: characteristic polynomial


Junjie Bai (Mar 01 2024 at 04:25):

Suppose A is DVR, with K its fraction field, L an extension of K of degree n, B is the integral closure of A in L, and x is uniformizer of B, how can i actually create the characteristic polynomial of x over K?

Junyan Xu (Mar 01 2024 at 05:17):

There is docs#LinearMap.charpoly if what you mean is the characteristic polynomial of multiplication by x (docs#Algebra.lsmul) as a K-linear endomorphism of L.

Junjie Bai (Mar 02 2024 at 04:45):

that helps a lot, thank you!


Last updated: May 02 2025 at 03:31 UTC