Abstract
We show that normalized Schur polynomials are strongly log-concave. As a consequence, we obtain Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients in the special case of Kostka numbers.
Original language | English (US) |
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Pages (from-to) | 4411-4427 |
Number of pages | 17 |
Journal | Transactions of the American Mathematical Society |
Volume | 375 |
Issue number | 6 |
DOIs | |
State | Published - Jun 1 2022 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Lorentzian polynomials
- Schur polynomials
- log-concavity
- weight multiplicities