58 citations · 319 across the 55 of their papers we have counts for
5 papers · 1 filter
Understanding finite dimensional representations generically
K. R. Goodearl, B. Huisgen-Zimmermann
We survey the development and status quo of a subject best described as "generic representation theory of finite dimensional algebras", which started taking shape in the early 1980…
Repetitive resolutions over classical orders and finite dimensional algebras
K. R. Goodearl, B. Huisgen-Zimmermann
Repetitiveness in projective and injective resolutions and its influence on homological dimensions are studied. Some variations on the theme of repetitiveness are introduced, and i…
Irreducible components of module varieties: projective equations and rationality
B. Huisgen-Zimmermann, K. R. Goodearl
We expand the existing arsenal of methods for exploring the irreducible components of the varieties which parametrize the representations with dimension vector $\b…
The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras
K. R. Goodearl, S. Launois
The structure of Poisson polynomial algebras of the type obtained as semiclassical limits of quantized coordinate rings is investigated. Sufficient conditions for a rational Poisso…
A Dixmier-Moeglin equivalence for Poisson algebras with torus actions
K. R. Goodearl
A Poisson analog of the Dixmier-Moeglin equivalence is established for any affine Poisson algebra on which an algebraic torus acts rationally, by Poisson automorphisms, suc…