25 citations · 149 across the 24 of their papers we have counts for
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Cohomology rings for quantized enveloping algebras
Christopher M. Drupieski
We compute the structure of the cohomology ring for the quantized enveloping algebra (quantum group) associated to a finite-dimensional simple complex Lie algebra $\mathfrak{…
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…
Representations and cohomology for Frobenius-Lusztig kernels
Christopher M. Drupieski
Let be the quantum group (Lusztig form) associated to the simple Lie algebra , with parameter specialized to an -th root of unity in a field of charac…