Geodesic
A new presentation for Specht modules with distinct parts
Tamar Friedmann1 ; Philip J. Hanlon2 ; Michelle L. Wachs3
1Colby College
2Dartmouth College
3University of Miami
The electronic journal of combinatorics, Tome 31 (2024) no. 4
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We obtain a new presentation for Specht modules whose conjugate shapes have strictly decreasing parts by introducing a linear operator on the space generated by column tabloids. The generators of the presentation are column tabloids and the relations form a proper subset of the Garnir relations of Fulton. The results in this paper generalize earlier results of the authors and Stanley on Specht modules of staircase shape.
DOI : 10.37236/12554
Classification : 05E10, 20C30, 17A42
Mots-clés : Young tableau, Grassmannian, Schubert polynomials

Tamar Friedmann  1   ; Philip J. Hanlon  2   ; Michelle L. Wachs  3

1 Colby College
2 Dartmouth College
3 University of Miami 
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Tamar Friedmann; Philip J. Hanlon; Michelle L. Wachs. A new presentation for Specht modules with distinct parts. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/12554

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