38 citations · 194 across the 17 of their papers we have counts for
4 papers · 1 filter
Tensor Isomorphism by conjugacy of Lie algebras
Peter A. Brooksbank, Joshua Maglione, James B. Wilson
We introduce an algorithm to decide isomorphism between tensors. The algorithm uses the Lie algebra of derivations of a tensor to compress the space in which the search takes place…
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…
Exact sequences of inner automorphisms of tensors
Peter A. Brooksbank, Joshua Maglione, James B. Wilson
We produce a long exact sequence whose terms are unit groups of associative algebras that behave as inner automorphisms of a given tensor. Our sequence generalizes known sequences…
Testing isomorphism of graded algebras
Peter A. Brooksbank, E. A. O'Brien, James B. Wilson
We present a new algorithm to decide isomorphism between finite graded algebras. For a broad class of nilpotent Lie algebras, we demonstrate that it runs in time polynomial in the…