Isotypic components in type $D$
William M. McGovern
TL;DR
This paper extends previous work on domino tableaux to type D, providing a method to compute basis vectors of isotypic components of Kazhdan-Lusztig cells in this mathematical setting.
Contribution
It introduces a generalized recipe for computing basis vectors of isotypic components in type D, expanding the applicability of earlier results.
Findings
Extended the domino tableaux method to type D
Provided explicit computation techniques for Kazhdan-Lusztig cells in type D
Validated the approach with theoretical proofs
Abstract
We extend the result of our earlier paper "A family of operators generating domino tableaux..." to type , showing that the same recipe holds for computing basis vectors of isotypic components of Kazhdan-Lusztig cells in that type.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Random Matrices and Applications