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Chern plethysm (introduced by Billey, Rhoades, and Tewari) is a geometric wayto produce Schur positive symmetric polynomials. We present combinatorialinterpretations for the Schur expansions of special cases of Chern plethysm. Wealso exhibit a symmetric group module whose Frobenius characteristic is (asymmetric function analog of) one of these cases, generalizing a result ofReiner and Webb.

Combinatorics and Representation Theory of Special Cases of Chern Plethysm