most citedCommutator Hopf subalgebras and irreducible representations

1 citations

7 papers

math.RA2005

Noncommutative Images of Commutative Spectra

Edward S. Letzter

We initiate a unified, axiomatic study of noncommutative algebras R whose prime spectra are, in a natural way, finite unions of commutative noetherian spectra. Our results illustra…

math.RA2005

The Closed-Point Zariski Topology for Irreducible Representations

K. R. Goodearl, E. S. Letzter

In previous work, the second author introduced a topology, for spaces of irreducible representations, that reduces to the classical Zariski topology over commutative rings but prov…

math.GR2005

Densities in free groups and , Visible Points and Test Elements

Ilya Kapovich, Igor Rivin, Paul Schupp +1

In this article we relate two different densities. Let be the free group of finite rank and let be the abelianization map from onto . We pr…

math.RA20051 cited

Commutator Hopf subalgebras and irreducible representations

Edward S. Letzter

S. Montgomery and S. Witherspoon proved that upper and lower semisolvable, semisimple, finite dimensional Hopf algebras are of Froebenius type when their dimensions are not divisib…

math.AG2005

A Remark on Closed Noncommutative Subspaces

Edward S. Letzter

Given an abelian category with arbitrary products, arbitrary coproducts, and a generator, we show that the closed subspaces (in the sense of A. L. Rosenberg) are parameterized by a…

math.MG20041 cited

Surface area and other measures of ellipsoids

Igor Rivin

We begin by studying the surface area of an ellipsoid in n-dimensional Euclidean space as the function of the lengths of the semi-axes. We write down an explicit formula as an inte…