Connection between Schur multipliers in representation theory and functional analysis? [duplicate]

Question

I was wondering if there is any connection between two things called Schur multipliers or is it just a coincidence? Namely, in representation/group theory the Schur multiplier of a group $G$ is its second homology group $H_2(G, \mathbb{Z})$. In functional analysis a function $\varphi \colon \mathbb{N} \times \mathbb{N} \to \mathbb{C}$ is a Schur multiplier if for any bounded linear operator $A: l^2 \to l^2$ with matrix $(a_{i,j})_{i,j \in \mathbb{N}}$ (with respect to the standard orthonormal basis of $l^2$) the matrix $(\varphi(i,j)a_{i,j})_{i,j \in \mathbb{N}}$ defines a bounded linear operator.