Coincidences among skew Schur functions

Victor Reiner; Kristin M. Shaw; Stephanie Van Willigenburg

Coincidences among skew Schur functions

Victor Reiner, Kristin M. Shaw, Stephanie Van Willigenburg

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

We define an equivalence relation on skew diagrams such that two skew diagrams are equivalent if and only if they give rise to equal skew Schur functions. Then we derive some necessary and sufficient conditions for equivalence.

Original language	English (US)
Pages	282-293
Number of pages	12
State	Published - Dec 1 2006
Event	18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States Duration: Jun 19 2006 → Jun 23 2006

Other

Other	18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
Country	United States
City	San Diego, CA
Period	6/19/06 → 6/23/06

Keywords

Ribbon Schur function
Skew Schur function
Symmetric function
Weyl module

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title = "Coincidences among skew Schur functions",

abstract = "We define an equivalence relation on skew diagrams such that two skew diagrams are equivalent if and only if they give rise to equal skew Schur functions. Then we derive some necessary and sufficient conditions for equivalence.",

keywords = "Ribbon Schur function, Skew Schur function, Symmetric function, Weyl module",

author = "Victor Reiner and Shaw, {Kristin M.} and {Van Willigenburg}, Stephanie",

year = "2006",

month = dec,

day = "1",

language = "English (US)",

pages = "282--293",

note = "18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 ; Conference date: 19-06-2006 Through 23-06-2006",

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TY - CONF

T1 - Coincidences among skew Schur functions

AU - Reiner, Victor

AU - Shaw, Kristin M.

AU - Van Willigenburg, Stephanie

PY - 2006/12/1

Y1 - 2006/12/1

N2 - We define an equivalence relation on skew diagrams such that two skew diagrams are equivalent if and only if they give rise to equal skew Schur functions. Then we derive some necessary and sufficient conditions for equivalence.

AB - We define an equivalence relation on skew diagrams such that two skew diagrams are equivalent if and only if they give rise to equal skew Schur functions. Then we derive some necessary and sufficient conditions for equivalence.

KW - Ribbon Schur function

KW - Skew Schur function

KW - Symmetric function

KW - Weyl module

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M3 - Paper

AN - SCOPUS:84860609131

SP - 282

EP - 293

T2 - 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006

Y2 - 19 June 2006 through 23 June 2006

ER -