Position sequences and a \(q\)-analogue for the modular hook length formula
The electronic journal of combinatorics, Tome 26 (2019) no. 4
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We prove a $q$-analogue of the modular hook length formula using position sequences. These position sequences, which correspond to moving the beads in a mathematical abacus, provide a new combinatorial interpretation for the characters of the irreducible representations of the symmetric group.
DOI : 10.37236/8685
Classification : 05A30, 05E05, 05E10, 20C30
Mots-clés : Young diagram

Anthony Mendes  1   ; Sam Lindbloom-Airey 

1 Cal Poly San Luis Obispo
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     title = {Position sequences and a \(q\)-analogue for the modular hook length formula},
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Anthony Mendes; Sam Lindbloom-Airey. Position sequences and a \(q\)-analogue for the modular hook length formula. The electronic journal of combinatorics, Tome 26 (2019) no. 4. doi: 10.37236/8685

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