34 citations · 200 across the 48 of their papers we have counts for
4 papers · 1 filter
Detecting Cohomology for Lie Superalgebras
Gustav I. Lehrer, Daniel K. Nakano, Ruibin Zhang
In this paper we use invariant theory to develop the notion of cohomological detection for Type I classical Lie superalgebras. In particular we show that the cohomology with coeffi…
First cohomology for finite groups of Lie type: simple modules with small dominant weights
Brian D. Boe, Adrian M. Brunyate, Jon F. Carlson +12
Let be an algebraically closed field of characteristic , and let be a simple, simply connected algebraic group defined over . Given , set $q=…
Cohomology for infinitesimal unipotent algebraic and quantum groups
Christopher M. Drupieski, Daniel K. Nakano, Nham V. Ngo
In this paper we study the structure of cohomology spaces for the Frobenius kernels of unipotent and parabolic algebraic group schemes and of their quantum analogs. Given a simple…
On the support varieties of Demazure modules
Benjamin F. Jones, Daniel K. Nakano
We consider the support varieties of Demazure modules, certain -modules important in the representation theory of reductive groups. In many cases we are able to compute these su…