University of Wisconsin–Stout

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19982025

most citedMantid - Data Analysis and Visualization Package for Neutron Scattering and

μ S R

Experiments

1.8k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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9 papers · 1 filter

math.RT2019★ 2 cited

Counterexamples to the Tilting and $(p, r)$ -Filtration Conjectures

Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1

In this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic $p$ that is not the restriction of an in…

math.RT2013

Extensions for Finite Chevalley Groups III: Rational and Generic Cohomology

Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen

Let $G$ be a connected reductive algebraic group and $B$ be a Borel subgroup defined over an algebraically closed field of characteristic $p > 0$ . In this paper, the authors study th…

math.RT2013★ 4 cited

Bounding the dimensions of rational cohomology groups

Christopher P. Bendel, Brian D. Boe, Christopher M. Drupieski +4

Let $k$ be an algebraically closed field of characteristic $p > 0$ , and let $G$ be a simple simply-connected algebraic group over $k$ that is defined and split over the prime field…

math.RT2012★ 10 cited

Cohomology for Frobenius kernels of $S L_{2}$

Nham V. Ngo

Let $(S L_{2})_{r}$ be the $r$ -th Frobenius kernels of the group scheme $S L_{2}$ defined over an algebraically field of characteristic $p > 2$ . In this paper we give for $r \geq 1$ a complete…

math.RT2012★ 14 cited

Commuting varieties of $r$ -tuples over Lie algebras

Nham V. Ngo

Let $G$ be a simple algebraic group defined over an algebraically closed field $k$ of characteristic $p$ and let $\g$ be the Lie algebra of $G$ . It is well known that for $p$ large…

math.RT2011★ 34 cited

Cohomology for quantum groups via the geometry of the nullcone

Christopher P. Bendel, Daniel K. Nakano, Brian J. Parshall +1

Let $ζ$ be a complex $ℓ$ th root of unity for an odd integer $ℓ > 1$ . For any complex simple Lie algebra $g$ , let $u_{ζ} = u_{ζ} (g)$ be the associated "small" qu…

math.RT2010★ 3 cited

Normality of orbit closures in the enhanced nilpotent cone

Pramod N. Achar, Anthony Henderson, Benjamin F. Jones

We continue the study of the closures of $G L (V)$ -orbits in the enhanced nilpotent cone $V\times\cN$ begun by the first two authors. We prove that each closure is an invariant-theor…

math.RT2000★ 9 cited

Cohomology and projectivity of modules for finite group schemes

Christopher P. Bendel

Let G be a finite group scheme over an algebraically closed field of positive characteristic. Assume further that the connected component of G is unipotent. It is shown that the pr…

math.RT2000

Projectivity of modules for infinitesimal unipotent group schemes