34 citations · 200 across the 48 of their papers we have counts for
55 papers
On the Hochschild Cohomology for Frobenius Kernels
Tekin Karadag, Daniel K. Nakano
In this paper the authors investigate the structure of the Hochschild cohomology for Frobenius kernels. The authors first establish some fundamental constructions to compute Hochsc…
Restricting Rational Modules to Frobenius Kernels
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
Let be a connected reductive group over an algebraically closed field of characteristic . Given an indecomposable G-module , one can ask when it remains indecomposable…
Quantum wreath products and Schur-Weyl duality I
Chun-Ju Lai, Daniel K. Nakano, Ziqing Xiang
In this paper the authors introduce a new notion called the quantum wreath product, which is the algebra produced from a given algebra , a positive inte…
Realizing Rings of Regular Functions via the Cohomology of Quantum Groups
Zongzhu Lin, Daniel K. Nakano
Let be a complex reductive group and be a parabolic subgroup of . In this paper the authors address questions involving the realization of the -module of the global s…
On Donkin's Tilting Module Conjecture III: New Generic Lower Bounds
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
In this paper the authors consider four questions of primary interest for the representation theory of reductive algebraic groups: (i) Donkin's Tilting Module Conjecture, (ii) the…
On sheaf cohomology for supergroups arising from simple classical Lie superalgebras
David M. Galban, Daniel K. Nakano
In this paper the authors study the behavior of the sheaf cohomology functors where is an algebraic group scheme corresponding to a simple cl…