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Pieri's formula for generalized Schur polynomials
Title: | Pieri's formula for generalized Schur polynomials |
Authors: | Numata, Yasuhide Browse this author |
Issue Date: | Aug-2007 |
Publisher: | Springer Netherlands |
Journal Title: | Journal of Algebraic Combinatorics |
Volume: | 26 |
Issue: | 1 |
Start Page: | 27 |
End Page: | 45 |
Publisher DOI: | 10.1007/s10801-006-0047-y |
Abstract: | Young's lattice, the lattice of all Young diagrams, has the Robinson-Schensted-Knuth correspondence, the correspondence between certain matrices and pairs of semi-standard Young tableaux with the same shape. Fomin introduced generalized Schur operators to generalize the Robinson-Schensted-Knuth correspondence. In this sense, generalized Schur operators are generalizations of semi-standard Young tableaux. We define a generalization of Schur polynomials as expansion coefficients of generalized Schur operators. We show that the commutating relation of generalized Schur operators implies Pieri's formula to generalized Schur polynomials. |
Rights: | The original publication is available at www.springerlink.com |
Relation: | http://www.springerlink.com |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/33803 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 沼田 泰英
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