Samir Mondal

In real Lie theory, matrices that admit a real logarithm lie in the identity component $\mathrm{GL}_n(\mathbb{R})_+$ of the general linear group $\mathrm{GL}_n(\mathbb{R})$, while their logarithms belong to the Lie algebra $\mathfrak{gl}_n(\mathbb{R}...

A $P$-matrix is a matrix all of whose principal minors are positive. In this talk, we demonstrate that the fractional powers of a $P$-matrix are also $P$-matrices. This insight allows us to affirmatively address a longstanding conjecture raised in [D...