Annihilators and associated varieties of Harish-Chandra modules for Sp(p,q)
William M. McGovern
TL;DR
This paper introduces a method to compute annihilators and associated varieties of simple Harish-Chandra modules for Sp(p,q) using domino tableaux, advancing understanding of their structure in representation theory.
Contribution
It provides a novel combinatorial approach to determine annihilators and associated varieties for Harish-Chandra modules of Sp(p,q) based on domino tableaux.
Findings
Method to compute annihilators from domino tableaux.
Explicit calculation of associated varieties for modules.
Enhanced classification of Harish-Chandra modules for Sp(p,q).
Abstract
We show how to compute annihilators and associated varieties of simple Harish-Chandra modules for Sp(p,q) with trivial infinitesimal character from a pair of domino tableaux attached to a parameter for such a module.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Mathematical Identities