A quadratic form on the gap poset of <a,b> recovers rational dinv on Young subdiagrams, equals a new nonnegative cross-dinv on pairs, and satisfies an effective positive-definiteness inequality for decreasing functions.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A quadratic form generalization of rational dinv
A quadratic form on the gap poset of <a,b> recovers rational dinv on Young subdiagrams, equals a new nonnegative cross-dinv on pairs, and satisfies an effective positive-definiteness inequality for decreasing functions.