2 citations · 2 across the 4 of their papers we have counts for
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Exotic t-structure for partial resolutions of the nilpotent cone
Kei Yuen Chan, Laura Rider, Paul Sobaje
We define and study an exotic t-structure on the bounded derived category of equivariant coherent sheaves on partial resolutions of the nilpotent cone.
The Steinberg quotient of a tilting character
Paul Sobaje
Let be a simple algebraic group over an algebraically closed field of prime characteristic. If is a finite dimensional -module that is projective over the Frobenius kern…
Counterexamples to the Tilting and -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 that is not the restriction of an in…
On character formulas for simple and tilting modules
Paul Sobaje
We show that the characters of tilting modules can be used, in a concrete and explicit way, to obtain the simple characters of a connected reductive algebraic group over an alg…
Steinberg squares and tensor products of tilting modules with simple modules
Paul Sobaje
Let be a simple and simply connected algebraic group over an algebraically closed field of characteristic . We establish an isomorphism of -modules between a di…
On tensoring with the Steinberg representation
Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen +1
Let be a simple, simply connected algebraic group over an algebraically closed field of prime characteristic . Recent work of Kildetoft and Nakano and of Sobaje has shown…