Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R)
Leticia Barchini, Roger Zierau
TL;DR
This paper computes characteristic cycles, leading term cycles, associated varieties, and Harish-Chandra cells for highest weight modules of Sp(2n,R) with regular integral infinitesimal character, advancing understanding of their geometric and algebraic structure.
Contribution
It provides explicit calculations of characteristic cycles and related invariants for a class of highest weight Harish-Chandra modules for Sp(2n,R), a new contribution in representation theory.
Findings
Explicit characteristic cycles for the modules.
Determination of associated varieties.
Analysis of Harish-Chandra cells.
Abstract
Characteristic cycles,leading term cycles,associated varieties and Harish-Chandra cells are computed for the family of highest weight Harish-Chandra modules for Sp(2n, R) having regular integral infinitesimal character.
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