18 citations · 126 across the 25 of their papers we have counts for
25 papers
Tannaka-Krein reconstruction for fusion 2-categories
David Green
We reprove the classical Tannaka-Krein reconstruction theorem by finding a monoidal equivalence of categories between a 1-truncated sub-2-category of the slice 2-category ${\sf Mod…
Classification of Rank 6 Modular Categories with Galois Group
David Green
Modular Tensor Categories (MTC's) arise in the study of certain condensed matter systems. There is an ongoing program to classify MTC's of low rank, up to modular data. We present…
The quaternion group has ghost number three
Fatma Altunbulak Aksu, David J. Green
We prove that the group algebra of the quaternion group over any field of characteristic two has ghost number three.
Cochain sequences and the Quillen category of a coclass family
Bettina Eick, David J. Green
We introduce the concept of an infinite cochain sequence and initiate a theory of homological algebra for them. We show how these sequences simplify and improve the construction of…
On the Christensen-Wang bounds for the ghost number of a p-group algebra
Fatma Altunbulak Aksu, David J. Green
Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency inde…
The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n
David J. Green, László Héthelyi, Erzsébet Horváth
The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-gro…