  We study the representation theory of the uniform block permutation algebra
in the context of the representation theory of factorizable inverse monoids.
The uniform block permutation algebra is a subalgebra of the partition algebra
and is also known as the party algebra. We compute its characters and provide a
Frobenius characteristic map to symmetric functions. This reveals connections
of the characters of the uniform block permutation algebra and plethysms of
Schur functions.
