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.
Differential operators onG/Uand the Gelfand-Graev action
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 3verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.
The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.
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 the structure of approximate rings
Finite approximate subrings in general rings admit a structure theorem where nilpotent quotients obstruct additive and multiplicative growth, yielding a general sum-product framework and a ring-theoretic analogue of Gromov's polynomial growth theorem.
-
The coordinate ring of the universal centralizer via Demazure operators
The coordinate ring of the universal centralizer equals the result of applying Demazure operators to the coordinate ring of X precisely when the W-fixed points of the Weil restriction of X is an integral scheme.