3 citations · 4 across the 4 of their papers we have counts for
6 papers
Nakayama Automorphism and Rigidity of Dual Reflections Group Coactions
E. Kirkman, J. Kuzmanovich, J. J. Zhang
We study homological properties and rigidity of group coactions on Artin-Schelter regular algebras.
Invariants of (-1)-Skew Polynomial Rings under Permutation Representations
Ellen E. Kirkman, James J. Kuzmanovich, James J. Zhang
The symmetric group S_n acts on the skew polynomial ring A=k_{-1}[x_1,..., x_n] as permutations. For subgroups G of S_n we consider properties of the ring of invariants A^G. We sho…
Noncommutative Complete Intersections
Ellen E Kirkman, James Kuzmanovich, James J. Zhang
Several generalizations of a commutative ring that is a graded complete intersection are proposed for a noncommutative graded -algebra; these notions are justified by examples f…
Finiteness conditions on the Yoneda algebra of a monomial algebra
Andrew Conner, Ellen Kirkman, James Kuzmanovich +1
Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph Γ(A) called the CPS graph of A. Finiteness properties of the Yoneda algebra Ext_A(k,k)…
Shephard-Todd-Chevalley Theorem for skew polynomial rings
E. Kirkman, J. Kuzmanovich, J. J. Zhang
We prove the following generalization of the classical Shephard-Todd-Chevalley Theorem. Let be a finite group of graded algebra automorphisms of a skew polynomial ring $A:=k_{p…
Rigidity of Graded Regular Algebras
E. Kirkman, J. Kuzmanovich, J. J. Zhang
We prove a graded version of Alev-Polo's rigidity theorem: the homogenization of the universal enveloping algebra of a semisimple Lie algebra and the Rees ring of the Weyl algebras…