29 citations · 132 across the 27 of their papers we have counts for
31 papers
Resolutions of Type Quantum Surface Singularities
Simon Crawford, Susan J. Sierra
Let be a Type quantum Kleinian singularity, which is an example of a noncommutative surface singularity. This singularity is known to ha…
Ideals in enveloping algebras of affine Kac-Moody algebras
Rekha Biswal, Susan J. Sierra
Let be an affine Kac-Moody algebra, with central element , and let . We study two-sided ideals in the central quotient of the universal…
Ring-theoretic blowing down II: Birational transformations
D. Rogalski, S. J. Sierra, J. T. Stafford
One of the major open problems in noncommutative algebraic geometry is the classification of noncommutative projective surfaces (or, slightly more generally, of noetherian connecte…
The Poisson spectrum of the symmetric algebra of the Virasoro algebra
Alexey V. Petukhov, Susan J. Sierra
Let be the Witt algebra of algebraic vector fields on and let be the Virasoro algebra, the unique nontrivial central…
A Poisson basis theorem for symmetric algebras of infinite-dimensional Lie algebras
Omar Leon Sanchez, Susan J. Sierra
We consider when the symmetric algebra of an infinite-dimensional Lie algebra, equipped with the natural Poisson bracket, satisfies the ascending chain condition (ACC) on Poisson i…
Enveloping algebras with just infinite Gelfand-Kirillov dimension
Natalia K. Iyudu, Susan J. Sierra
Let $\mf g$ be the Witt algebra or the positive Witt algebra. It is well known that the enveloping algebra $U(\mf g )$ has intermediate growth and thus infinite Gelfand-Kirillov (G…