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math.RT2014★ 8 cited
Q-Koszul Algebras and Three Conjectures
Brian Parshall, Leonard Scott
In previous work, the authors introduced the notion of Q-Koszul algebras, as a tool to "model" module categories for semisimple algebraic groups over fields of large characteristic…
math.RT2012
Forced gradings in integral quasi-hereditary algebras with applications to quantum groups
Brian Parshall, Leonard Scott
Let $\sO$ be a discrete valuation ring with fraction field and residue field . A quasi-hereditary algebra $\wA$ over $\sO$ provides a bridge between the representation theor…
math.RT2010
Cohomological growth rates and Kazhdan-Lusztig polynomials
Brian Parshall, Leonard Scott
In previous work, the authors established various bounds for the dimensions of degree cohomology and $\Ext$-groups, for irreducible modules of semisimple algebraic groups (…