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.
Canonical bases arising from quantized enveloping algebras
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.RT 2years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.
citing papers explorer
-
Kazhdan-Lusztig Basis and Optimization
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.
-
On reciprocal characters and the quantum affine Schur-Weyl duality
Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.