4 papers · 1 filter
Categorification of characteristic structures
Peter A. Brooksbank, Heiko Dietrich, Joshua Maglione +2
We develop a representation theory of categories as a means to explore characteristic structures in algebra. Characteristic structures play a critical role in isomorphism testing o…
Isomorphism invariant metrics
P. A. Brooksbank, J. F. Maglione, E. A. O'Brien +1
Within a category , having objects , it may be instructive to know not only that two objects are non-isomorphic, but also how far from being isomorphic th…
On the ranks of string C-group representations for symplectic and orthogonal groups
Peter A. Brooksbank
We determine the ranks of string C-group representations of the groups , and comment on those of higher-dimensional symplectic and…
Rank reduction of string C-group representations
Peter A. Brooksbank, Dimitri Leemans
We show that a rank reduction technique for string C-group representations first used for the symmetric groups generalizes to arbitrary settings. The technique permits us, among ot…