THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
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BRENDON RHOADES;
THE POLYTABLOID BASIS EXPANDS POSITIVELY INTO THE WEB BASIS
We show that the transition matrix from the polytabloid basis to the web basis of the irreducible $\mathfrak{S}_{2n}$ -representation of shape $(n,n)$ has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko [Int. Math. Res. Not., 2019(5) (2019), 1479–1502].
- University of California United States
- University of California United States
- University of California, Los Angeles United States
- University of California United States
- UNIVERSITY OF CALIFORNIA United States
05E10 (primary), Combinatorial aspects of representation theory, QA1-939, FOS: Mathematics, 05E40 (secondary), Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial aspects of commutative algebra, Mathematics
05E10 (primary), Combinatorial aspects of representation theory, QA1-939, FOS: Mathematics, 05E40 (secondary), Mathematics - Combinatorics, Combinatorics (math.CO), Combinatorial aspects of commutative algebra, Mathematics
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 7
Top 10%
Average
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