Plactic monoid: Difference between revisions

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==References==
*{{Citation | last1=Duchamp | first1=Gérard | last2=Krob | first2=Daniel | title=Words, languages and combinatorics, II (Kyoto, 1992) | publisher=World Sci. Publ., River Edge, NJ | mr=1351284 | zbl=0875.68720 | year=1994 | chapter=Plactic-growth-like monoids | pages=124–142 |chapter-url=http://www.liafa.jussieu.fr/web9/rapportrech/description_en.php?idrapportrech=487}}
*{{Citation | last1=Fulton | first1=William | author1-link=William Fulton (mathematician) | title=Young tableaux | publisher=[[Cambridge University Press]] | series=London Mathematical Society Student Texts | isbn=978-0-521-56144-0 | mr=1464693 | zbl=0878.14034 | year=1997 | volume=35}}
*{{Citation | last1=Knuth | first1=Donald E. | author1-link=Donald Knuth | title=Permutations, matrices, and generalized Young tableaux | url=http://projecteuclid.org/euclid.pjm/1102971948 |mr=0272654 | year=1970 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=34 | issue=3 | pages=709–727 | doi=10.2140/pjm.1970.34.709}}
*{{Citation |last1=Lascoux |first1=Alain |first2=B. |last2=Leclerc |first3=J-Y. |last3=Thibon |chapter=The Plactic Monoid |chapter-url=http://www.combinatorics.net/lascoux/articles/plactic.ps |deadurl=yes |archiveurl=https://web.archive.org/web/20110718165544/http://www.combinatorics.net/lascoux/articles/plactic.ps |archivedate=2011-07-18 |df= }}
*{{Citation | last1=Littelmann | first1=Peter | title=A plactic algebra for semisimple Lie algebras | url=https://dx.doi.org/10.1006/aima.1996.0085 | doi=10.1006/aima.1996.0085 |mr=1424313 | year=1996 | journal=Advances in Mathematics | issn=0001-8708 | volume=124 | issue=2 | pages=312–331}}
*{{Citation | author2-link=Marcel-Paul Schützenberger | last1=Lascoux | first1=Alain | last2=Schützenberger | first2=Marcel-P. | title=Noncommutative structures in algebra and geometric combinatorics (Naples, 1978) | publisher=CNR | ___location=Rome | series=Quaderni de La Ricerca Scientifica |mr=646486 | year=1981 | volume=109 | chapter=Le monoïde plaxique | pages=129–156|chapter-url=http://igm.univ-mlv.fr/~berstel/Mps/Travaux/A/1981-1PlaxiqueNaples.pdf}}
* {{citation | last=Lothaire | first=M. | authorlink=M. Lothaire | title=Algebraic combinatorics on words | others=With preface by Jean Berstel and Dominique Perrin | edition=Reprint of the 2002 hardback | series=Encyclopedia of Mathematics and Its Applications | volume=90| publisher=Cambridge University Press | year=2011 | isbn=978-0-521-18071-9 | zbl=1221.68183 }}
*{{Citation | doi=10.4153/CJM-1961-015-3 | authorlink=Craige Schensted | last1=Schensted | first1=C. | title=Longest increasing and decreasing subsequences |mr=0121305 | year=1961 | journal=Canadian Journal of Mathematics | issn=0008-414X | volume=13 | issue=0 | pages=179–191|url=https://books.google.com/books?id=G3sZ2zG8AiMC}}
*{{Citation | last1=Schützenberger | first1=Marcel-Paul | title=Pour le monoïde plaxique | url=http://msh.revues.org/document2764.html |mr=1627563 | year=1997 | journal=Mathématiques, Informatique et Sciences Humaines | issn=0995-2314 | issue=140 | pages=5–10}}
 
==Further reading==
*{{citation | last=Green | first=James A. | authorlink=James Alexander Green | title=Polynomial representations of GL<sub>n</sub> | others=With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker | edition=2nd corrected and augmented | zbl=1108.20044 | series=Lecture Notes in Mathematics | volume=830 | ___location=Berlin | publisher=[[Springer-Verlag]] | isbn=978-3-540-46944-35 | year=2007 }}