Equivariant correspondences and the Borel-Bott-Weil theorem
Heath Emerson, Robert Yuncken
TL;DR
This paper extends the Borel-Bott-Weil theorem into equivariant KK-theory by constructing canonical correspondences between flag varieties, offering a new perspective in geometric representation theory.
Contribution
It introduces an equivariant KK-theoretic analogue of the Borel-Bott-Weil theorem using canonical correspondences between flag varieties.
Findings
Established an equivariant KK-theoretic version of the Borel-Bott-Weil theorem
Constructed canonical equivariant correspondences between G/B varieties
Provided new tools for geometric representation theory
Abstract
We prove an analogue of the Borel-Bott-Weil theorem in equivariant KK-theory by constructing certain canonical equivariant correspondences between minimal flag varieties G/B, with G a complex semisimple Lie group.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology