4 papers
A spectral theory for transverse tensor operators
Uriya First, Joshua Maglione, James B. Wilson
Tensors are multiway arrays of data, and transverse operators are the operators that change the frame of reference. We develop the spectral theory of transverse tensor operators an…
Incorporating Weisfeiler-Leman into algorithms for group isomorphism
Peter A. Brooksbank, Joshua A. Grochow, Yinan Li +2
In this paper we combine many of the standard and more recent algebraic techniques for testing isomorphism of finite groups (GpI) with combinatorial techniques that have typically…
A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras
Ian Holm Kessler, Henry Kvinge, James B. Wilson
We introduce a decomposition of associative algebras into a tensor product of cyclic modules. This produces a means to encode a basis with logarithmic information and thus extends…
Decomposing p-groups via Jordan algebras
James B. Wilson
For finite p-groups P of class 2 and exponent p the following are invariants of fully refined central decompositions of P: the number of members in the decomposition, the multiset…