Orbital varieties in type $D$
William M. McGovern
TL;DR
This paper corrects previous work on parametrizing orbital varieties in type D Lie algebras, providing explicit methods using domino tableaux and calculations for Weyl group elements.
Contribution
It offers a corrected proof and a detailed parametrization of orbital varieties in type D Lie algebras using domino tableaux.
Findings
Corrected proof of orbital variety parametrization in type D
Explicit computation methods for varieties attached to Weyl group elements
Enhanced understanding of the structure of orbital varieties in type D
Abstract
We correct the proof of the main result in an earlier paper, showing how to parametrize orbital varieties in a complex simple Lie algebra of type in terms of domino tableaux and showing how to compute variety attached to any element of the Weyl group in this type.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models