The Eigenvalues of Hyperoctahedral Descent Operators and Applications to Card-Shuffling

We extend an algebra of Mantaci and Reutenauer, acting on the free associative algebra, to a vector space of operators acting on all graded connected Hopf algebras. These operators are convolution products of certain involutions, which we view as hyperoctahedral variants of Patras's descent ope...

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Bibliographic Details
Published in:The Electronic journal of combinatorics Vol. 29; no. 1
Main Author: Pang, C. Y. Amy
Format: Journal Article
Language:English
Published: 25-02-2022
Online Access:Get full text
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