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.
Lie group representations on polynomial rings
2 Pith papers cite this work. Polarity classification is still indexing.
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Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.
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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.
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On involutions of minuscule Kirillov algebras induced by real structures
Describes involutions on spectra of minuscule Kirillov algebras from real structures, models fixed points via real equivariant cohomology, characterizes freeness, and recovers Stembridge's q=-1 phenomenon geometrically.