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 |
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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 |
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Country/Territory | 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