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math.RT2013★ 1 cited
The induced PBW filtration, Frobenius splitting of double flag varieties, and Wahl's conjecture
Chuck Hague
Let G be a semisimple algebraic group over an algebraically closed field of positive characteristic p. Generalizing the construction of the PBW filtration on Weyl modules for G we…
math.RT2012
Algebraic Frobenius Splitting of Cotangent Bundles of Flag Varieties
Chuck Hague
Following the program of algebraic Frobenius splitting begun by Kumar and Littelmann, we use representation-theoretic techniques to construct a Frobenius splitting of the cotangent…
math.RT2012
Some Good-Filtration Subgroups of Simple Algebraic Groups
Chuck Hague, George McNinch
Let G be a connected and reductive algebraic group over an algebraically closed field of characteristic p > 0. An interesting class of representations of G consists of those G-modu…