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math.RT2019★ 1 cited
Dual pairs in complex classical groups and Lie algebras
Marisa Gaetz
In Roger Howe's 1989 paper, ``Remarks on classical invariant theory," Howe introduces the notion of a dual pair of Lie subalgebras: a pair of red…
math.CO2019
Enumeration and Extensions of Word-representants
Marisa Gaetz, Caleb Ji
Given a finite word over a finite alphabet , consider the graph with vertex set and with an edge between two elements of if and only if the two elements alternate in…