Matrices, characters and descents

Ron M. Adin; Yuval Roichman

doi:10.1016/j.laa.2014.11.028

Matrices, characters and descents

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

A new family of asymmetric matrices of Walsh-Hadamard type is introduced. We study their properties and, in particular, compute their determinants and discuss their eigenvalues. The invertibility of these matrices implies that certain character formulas are invertible, yielding expressions for the cardinalities of sets of combinatorial objects with prescribed descent sets in terms of character values of the symmetric group.

Original language	English
Pages (from-to)	381-418
Number of pages	38
Journal	Linear Algebra and Its Applications
Volume	469
DOIs	https://doi.org/10.1016/j.laa.2014.11.028
State	Published - 15 Mar 2015

Bibliographical note

Publisher Copyright:
© 2014 Elsevier Inc. All rights reserved.

Funding

Both authors were partially supported by Internal Research Grants from the Office of the Rector, Bar-Ilan University .

Funders
Bar-Ilan University

Keywords

Character formulas
Descents
Symmetric group
WalshHadamard matrices

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10.1016/j.laa.2014.11.028

Cite this

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Matrices, characters and descents

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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