23 citations · 177 across the 41 of their papers we have counts for
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math.QA2012★ 17 cited
Isomorphisms of some quantum spaces
Jason Gaddis
We consider a series of questions that grew out of determining when two quantum planes are isomorphic. In particular, we consider a similar question for quantum matrix algebras and…
math.RA2012★ 11 cited
PBW deformations of Artin-Schelter regular algebras
Jason Gaddis
We consider algebras that can be realized as PBW deformations of (Artin-Schelter) regular algebras. This is equivalent to the homogenization of the algebra being regular. It is sho…
math.RA2012★ 13 cited
Two-generated algebras and standard-form congruence
Jason Gaddis
Matrix congruence can be used to mimic linear maps between homogeneous quadratic polynomials in variables. We introduce a generalization, called standard-form congruence, which…