Abstract
The Newell-Littlewood numbers Nμ,v,λ are tensor product multiplicities of Weyl modules for classical Lie groups, in the stable limit. For which triples of partitions (μ, v, λ) does Nμ,v,λ > 0 hold? The Littlewood-Richardson coefficient case is solved by the Horn inequalities (in work of A. Klyachko and A. Knutson-T. Tao). We extend these celebrated linear inequalities to a much larger family, suggesting a general solution.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1287-1297 |
| Number of pages | 11 |
| Journal | Algebraic Combinatorics |
| Volume | 5 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2022 |
Keywords
- Horn inequalities.
- Newell-Littlewood numbers
- Weyl modules
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
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