Work

A New Presentation for Specht Modules with Distinct Parts

Year: 2024

Type: article

Abstract: 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.

Source: The Electronic Journal of Combinatorics

DOI: 10.37236/12554

Authors: Tamar Friedmann, Philip J. Hanlon, Michelle L. Wachs

Institutions: Colby College, Dartmouth College, University of Miami

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Award: Research in Algebraic Combinatorics