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Mathematics > Combinatorics

Title: Combinatorics and Representation Theory of Special Cases of Chern Plethysm

Abstract: Chern plethysm (introduced by Billey, Rhoades, and Tewari) is a geometric way to produce Schur positive symmetric polynomials. We present combinatorial interpretations for the Schur expansions of special cases of Chern plethysm. We also exhibit a symmetric group module whose Frobenius characteristic is (a symmetric function analog of) one of these cases, generalizing a result of Reiner and Webb.
Comments: 20 pages
Subjects: Combinatorics (math.CO); Representation Theory (math.RT)
Cite as: arXiv:2310.01786 [math.CO]
  (or arXiv:2310.01786v1 [math.CO] for this version)

Submission history

From: Nathaniel Libman [view email]
[v1] Tue, 3 Oct 2023 04:28:01 GMT (19kb)

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