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math.RT 1

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2026 1

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Kazhdan-Lusztig Basis and Optimization

math.RT · 2026-04-20 · unverdicted · novelty 8.0

Maximizing a quadratic objective over unitriangular bases with non-negative 1+s action recovers the Kazhdan-Lusztig basis for all partitions of n≤7 and is conjectured to do so more generally, while minimization recovers Young's seminormal basis.

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  • Kazhdan-Lusztig Basis and Optimization math.RT · 2026-04-20 · unverdicted · none · ref 24

    Maximizing a quadratic objective over unitriangular bases with non-negative 1+s action recovers the Kazhdan-Lusztig basis for all partitions of n≤7 and is conjectured to do so more generally, while minimization recovers Young's seminormal basis.