A bstract number of finite algorithms for constructing representation theoretic data from group multiplications in a G have recently been shown to be related amplitudes combinatoric topological strings ( -CTST) based on Dijkgraaf-Witten theory flat -bundles surfaces. We extend this result projective representations using twisted theory. New characters are described, handle creation operators an...

A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in terms of simple cardinal invariants of the family of uniformly continuous pseudometrics of the given uniform space and of the uniformity itself....

This paper studies the metrizability of the notion of L-topological groups defined by Ahsanullah. We show that for any (separated) L-topological group there is an L-pseudo-metric (L-metric), in sense of Gähler which is defined using his notion of L-real numbers, compatible with the Ltopology of this (separated) L-topological group. That is, any (separated) L-topological group is pseudo-metrizab...