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Izvestiya: Mathematics, 2008, Volume 72, Issue 4, Pages 689–716
DOI: https://doi.org/10.1070/IM2008v072n04ABEH002415 (Mi im708) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Robinson–Schensted–Knuth correspondence and the bijections of commutativity and associativity

V. I. Danilov, G. A. Koshevoy

Central Economics and Mathematics Institute, RAS
English version PDF (448 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2008v072n04ABEH002415
Abstract: The bijections of associativity and commutativity arise from symmetries of the Littlewood–Richardson coefficients. We define these bijections in terms of arrays and show that they coincide with analogous bijections defined in terms of discretely concave functions using the octahedron recurrence as well as with bijections defined in terms of Young tableaux. The main ingredient in the proof of their coincidence is a functional version of the Robinson–Schensted–Knuth correspondence.
Received: 01.04.2005
Revised: 15.05.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2008, Volume 72, Issue 4, Pages 67–96
DOI: https://doi.org/10.4213/im708
Bibliographic databases:
UDC: 512.815.1
MSC: 05E10, 52C07, 26B25
Language: English
Original paper language: Russian
Citation: V. I. Danilov, G. A. Koshevoy, “The Robinson–Schensted–Knuth correspondence and the bijections of commutativity and associativity”, Izv. RAN. Ser. Mat., 72:4 (2008), 67–96; Izv. Math., 72:4 (2008), 689–716
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:248
    English version PDF:18
    References:51
    First page:7
     
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