Tohoku Mathematical Journal
2019

June
SECOND SERIES VOL. 71, NO. 2

Tohoku Math. J.
71 (2019), 171-205

Title CHARACTERISTIC CYCLES OF HIGHEST WEIGHT HARISH-CHANDRA MODULES AND THE WEYL GROUP ACTION ON THE CONORMAL VARIETY

Author Leticia Barchini

(Received July 19, 2016, revised October 20, 2016)
Abstract. We give an inductive algorithm that computes the action of simple reflections on a subset of basis-vectors of the Borel-Moore homology of the conormal variety associated to the symmetric pair $(\text{Sp}(2n), \text{GL}(n))$.

Mathematics Subject Classification. Primary 22E47.

Key words and phrases. Characteristic cycle, conormal variety.

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