8 citations · 9 across the 6 of their papers we have counts for
6 papers
Pointed Hopf algebras, the Dixmier-Moeglin Equivalence and Noetherian group algebras
Jason P. Bell, Ken A. Brown, J. Toby Stafford
This paper addresses the interactions between three properties that a group algebra or more generally a pointed Hopf algebra may possess: being noetherian, having finite Gelfand-Ki…
Twisted unipotent groups
Ken A. Brown, Shlomo Gelaki
We study the algebraic structure and representation theory of the Hopf algebras when is an affine algebraic unipotent group over with $\math…
On the bosonization of the enveloping algebra of a finite dimensional Lie superalgebra
Nicolás Andruskiewitsch, Ken A. Brown
We exhibit a PI Hopf algebra that is not a finite module over its center. We survey some ring-theoretical properties of the bosonizations of enveloping algebras of Lie superalgebra…
The finite dual of commutative-by-finite Hopf algebras
Ken Brown, Miguel Couto, Astrid Jahn
The finite dual of an affine commutative-by-finite Hopf algebra is studied. Such a Hopf algebra is an extension of an affine commutative Hopf algebra by a f…
Connected Hopf algebras and iterated Ore extensions
K. A. Brown, S. O'Hagan, J. J. Zhang +1
We investigate when a skew polynomial extension T = R[x; σ, δ] of a Hopf algebra R admits a Hopf algebra structure, substantially generalising a theorem of Panov. When this constru…
Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space
K. A. Brown, K. R. Goodearl, M. Yakimov
The standard Poisson structure on the rectangular matrix variety M_{m,n}(C) is investigated, via the orbits of symplectic leaves under the action of the maximal torus T of GL_{m+n}…