2 citations · 2 across the 7 of their papers we have counts for
7 papers
Degree-One Rational Cherednik Algebras for the Symmetric Group
Briana Foster-Greenwood, Cathy Kriloff
Drinfeld orbifold algebras deform skew group algebras in polynomial degree at most one and hence encompass graded Hecke algebras, and in particular symplectic reflection algebras a…
A different perspective on H-like Lie algebras
Cathy Kriloff, Tracy Payne
We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in , translating the classification problem for H-like Lie al…
Connectedness of two-sided group digraphs and graphs
Patreck Chikwanda, Cathy Kriloff, Yun Teck Lee +3
Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multi…
Drinfeld Orbifold Algebras for Symmetric Groups
Briana Foster-Greenwood, Cathy Kriloff
Drinfeld orbifold algebras are a type of deformation of skew group algebras generalizing graded Hecke algebras of interest in representation theory, algebraic combinatorics, and no…
Spectra of Cayley Graphs of Complex Reflection Groups
Briana Foster-Greenwood, Cathy Kriloff
Renteln proved that the eigenvalues of the distance matrix of a Cayley graph of a real reflection group with respect to the set of all reflections are integral and provided a combi…
Hamiltonian cycles in Cayley graphs of imprimitive complex reflection groups
Cathy Kriloff, Terry Lay
Generalizing a result of Conway, Sloane, and Wilkes for real reflection groups, we show the Cayley graph of an imprimitive complex reflection group with respect to standard generat…