2 citations · 4 across the 7 of their papers we have counts for
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Hall categories and KLR categorification
Adam Gal, Elena Gal, Kobi Kremnizer
This paper is the first step in the project of categorifying the bialgebra structure on the half of quantum group by using geometry and Hall algebras. We equi…
Hopf categories and the categorification of the Heisenberg algebra via graphical calculus
Elena Gal
We explore the connection between the notion of Hopf category and the categorification of the infinite dimensional Heisenberg algebra via graphical calculus proposed by M.Khovanov.…
A geometric approach to Hall algebras I: Higher Associativity
Adam Gal, Elena Gal
We construct a geometric system from which the Hall algebra can be recovered. This system inherently satisfies higher associativity conditions and thus leads to a categorification…
Symmetric self-adjoint Hopf categories and a categorical Heisenberg double
Adam Gal, Elena Gal
Motivated by the work of of A. Zelevinsky on positive self-adjoint Hopf algebras, we define what we call a symmetric self-adjoint Hopf structure for a certain kind of semisimple ab…