Bumping algorithm for set-valued shifted tableaux

Takeshi Ikeda; Hiroshi Naruse; Yasuhide Numata

Bumping algorithm for set-valued shifted tableaux

Takeshi Ikeda, Hiroshi Naruse, Yasuhide Numata

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

Abstract

We present an insertion algorithm of Robinson-Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan. As an application, we obtain a Pieri rule for a K-theoretic analogue of the Schur Q-functions.

Original language	English
Pages	527-538
Number of pages	12
Publication status	Published - 2011
Externally published	Yes
Event	23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 - Reykjavik, Iceland Duration: 2011 Jun 13 → 2011 Jun 17

Conference

Conference	23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11
Country	Iceland
City	Reykjavik
Period	11/6/13 → 11/6/17

Keywords

Insertion
K-theory
Pieri rule
Robinson-Schensted
Schur Q-functions
Set-valued shifted tableaux

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Bumping algorithm for set-valued shifted tableaux",

abstract = "We present an insertion algorithm of Robinson-Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan. As an application, we obtain a Pieri rule for a K-theoretic analogue of the Schur Q-functions.",

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author = "Takeshi Ikeda and Hiroshi Naruse and Yasuhide Numata",

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note = "23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 ; Conference date: 13-06-2011 Through 17-06-2011",

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AU - Ikeda, Takeshi

AU - Naruse, Hiroshi

AU - Numata, Yasuhide

PY - 2011

Y1 - 2011

N2 - We present an insertion algorithm of Robinson-Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan. As an application, we obtain a Pieri rule for a K-theoretic analogue of the Schur Q-functions.

AB - We present an insertion algorithm of Robinson-Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan. As an application, we obtain a Pieri rule for a K-theoretic analogue of the Schur Q-functions.

KW - Insertion

KW - K-theory

KW - Pieri rule

KW - Robinson-Schensted

KW - Schur Q-functions

KW - Set-valued shifted tableaux

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T2 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11

Y2 - 13 June 2011 through 17 June 2011

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