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Transitioning Between Tableaux and Spider Bases for Specht Modules |
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| Authors: | Im Mee Seong Zhu Jieru |
| Institution: | 1.Department of Mathematical Sciences, United States Military Academy, West Point, NY, 10996, USA ;3.Department of Mathematics, SUNY at Buffalo, Buffalo, NY, 14260, USA ; |
| Abstract: | Regarding the Specht modules associated to the two-row partition (n, n), we provide a combinatorial path model to study the transitioning matrix from the tableau basis to the A1-web basis (i.e. cup diagrams), and prove that the entries in this matrix are positive in the upper-triangular portion with respect to a certain partial order. |
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