Noncommutative Symmetric Hall-Littlewood Polynomials

Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncom...

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Bibliographic Details
Published in:Discrete Mathematics & Theoretical Computer Science
Main Author: Lenny Tevlin
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Subjects:
symmetric functions
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2964/pdf
Description
Summary:Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis. More of the classical properties extend to noncommutative setting as I will demonstrate introducing a new family of noncommutative symmetric functions, depending on one parameter. It seems to be an appropriate noncommutative analog of the Hall-Littlewood polynomials.
ISSN:1365-8050

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