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math.RT2022
Graphical methods and rings of invariants on the symmetric algebra
Rebecca Bourn, William Q. Erickson, Jeb F. Willenbring
Let be a complex classical group, and let be its defining representation (possibly plus a copy of the dual). A foundational problem in classical invariant theory is to writ…
math.RT2021
Enright resolutions encoded by a generating function for Blattner's formula: Type A
William Q. Erickson
Consider the classical action of on a sum of copies of the defining representation and copies of its dual; by Howe duality, the polynomial functions on this sp…
math.RT2020
Contingency tables and the generalized Littlewood-Richardson coefficients
Mark Colarusso, William Q. Erickson, Jeb F. Willenbring
The Littlewood-Richardson coefficients give the multiplicity of an irreducible polynomial -representation in the tensor product of polynomial represe…