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

^*この研究の対応する著者

研究成果: Paper › 査読

3 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ	527-538
ページ数	12
出版ステータス	Published - 2011
外部発表	はい
イベント	23rd International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'11 - Reykjavik, Iceland 継続期間: 2011 6 13 → 2011 6 17

Conference

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

ASJC Scopus subject areas

代数と数論

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引用スタイル

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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.",

keywords = "Insertion, K-theory, Pieri rule, Robinson-Schensted, Schur Q-functions, Set-valued shifted tableaux",

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AU - Ikeda, Takeshi

AU - Naruse, Hiroshi

AU - Numata, Yasuhide

PY - 2011

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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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M3 - Paper

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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

ER -

Bumping algorithm for set-valued shifted tableaux

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Conference

ASJC Scopus subject areas

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