Positivity of Schubert coefficients
Copyright policy )Positivity of Schubert coefficients
Schubert coefficients c u , v w are structure constants describing multiplication of Schubert polynomials. Deciding positivity of Schubert coefficients is a major open problem in Algebraic Combinatorics. We prove a positive rule for this problem based on two well known assumptions: the Generalized Riemann Hypothesis and the strong derandomization assumption by Miltersen–Vinodchandran.
- Robichaux, Colleen E United States
- University of California, Los Angeles United States
FOS: Computer and information sciences, Computer Science - Computational Complexity, Primary: 05E14, Secondary: 05E05, 14M15, 14N15, 68Q05, 68Q15, 68Q25, Discrete Mathematics (cs.DM), Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Computational Complexity (cs.CC), Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Computer Science - Computational Complexity, Primary: 05E14, Secondary: 05E05, 14M15, 14N15, 68Q05, 68Q15, 68Q25, Discrete Mathematics (cs.DM), Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Computational Complexity (cs.CC), Computer Science - Discrete Mathematics
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