메뉴 건너뛰기




Volumn 11, Issue 2 R, 2005, Pages 1-24

RSK insertion for set partitions and diagram algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33747862610     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (36)

References (23)
  • 1
    • 0001375329 scopus 로고
    • A schensted-type correspondence for the symplectic group
    • [Be]
    • [Be] A. Berele, A Schensted-Type Correspondence for the Symplectic Group, J. Cornbin. Theory Ser. A 43 (1986), no. 2, 320-328.
    • (1986) J. Cornbin. Theory Ser. A , vol.43 , Issue.2 , pp. 320-328
    • Berele, A.1
  • 2
    • 0000365215 scopus 로고
    • On algebras which are connected with the semisimple continuous groups
    • [Br]
    • [Br] R. Brauer, On algebras which are connected with the semisimple continuous groups, Ann. Math. 38 (1937), 854-872.
    • (1937) Ann. Math. , vol.38 , pp. 854-872
    • Brauer, R.1
  • 4
    • 26644447683 scopus 로고
    • La correspondance de Robinson-Schensted pour les tableaux oscillants gauches
    • [DS]
    • [DS] S. Dulucq and B. Sagan, La correspondance de Robinson-Schensted pour les tableaux oscillants gauches, Discrete Math. 139 (1995), 129-142.
    • (1995) Discrete Math. , vol.139 , pp. 129-142
    • Dulucq, S.1    Sagan, B.2
  • 5
    • 1342268343 scopus 로고    scopus 로고
    • Representations of the q-rook monoid
    • [Ha]
    • [Ha] T. Halverson, Representations of the q-rook monoid, J. Algebra 273 (2004), 227-251.
    • (2004) J. Algebra , vol.273 , pp. 227-251
    • Halverson, T.1
  • 7
    • 0001030792 scopus 로고
    • Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
    • [HR1]
    • [HR1] T. Halverson and A. Ram, Characters of algebras containing a Jones basic construction: the Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras. Adv. Math., 116 (1995), 263-321.
    • (1995) Adv. Math. , vol.116 , pp. 263-321
    • Halverson, T.1    Ram, A.2
  • 10
    • 84972578253 scopus 로고
    • Permutations, matrices, and generalized Young tableaux
    • [Kn]
    • [Kn] D. E. Knuth, Permutations, matrices, and generalized Young tableaux, Pacific J. Math. 34 (1970), 709-727.
    • (1970) Pacific J. Math. , vol.34 , pp. 709-727
    • Knuth, D.E.1
  • 11
    • 0002033247 scopus 로고
    • Temperley-Lieb algebras for nonplanar statistical mechanics-the partition algebra construction
    • [Marl]
    • [Marl] P. Martin, Temperley-Lieb algebras for nonplanar statistical mechanics-the partition algebra construction, J. Knot Theory Ramifications 3 (1994), 51-82.
    • (1994) J. Knot Theory Ramifications , vol.3 , pp. 51-82
    • Martin, P.1
  • 12
    • 0030585876 scopus 로고    scopus 로고
    • The structure of the partition algebras
    • [Mar2]
    • [Mar2] P. Martin, The structure of the partition algebras, J. Algebra 183 (1996), no. 2, 319-358.
    • (1996) J. Algebra , vol.183 , Issue.2 , pp. 319-358
    • Martin, P.1
  • 13
    • 0034685560 scopus 로고    scopus 로고
    • The partition algebra and the Potts model transfer matrix spectrum in high dimensions
    • [Mar3]
    • [Mar3] P. Martin, The partition algebra and the Potts model transfer matrix spectrum in high dimensions, J. Phys. A: Math. Gen., 33 (2000), 3669-3695.
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 3669-3695
    • Martin, P.1
  • 14
    • 0009265460 scopus 로고    scopus 로고
    • The Potts model representation and a RobinsonSchensted correspondence for the partition algebra
    • [MR]
    • [MR] P. Martin and G. Rollet, The Potts model representation and a RobinsonSchensted correspondence for the partition algebra, Compositio Math. 112 (1998), no. 2, 237-254.
    • (1998) Compositio Math. , vol.112 , Issue.2 , pp. 237-254
    • Martin, P.1    Rollet, G.2
  • 15
    • 0000799330 scopus 로고
    • On representations of the symmetric group
    • [Rob]
    • [Rob] G. de B. Robinson, On representations of the symmetric group, Amer. J. Math. 60, (1938) 745-760.
    • (1938) Amer. J. Math. , vol.60 , pp. 745-760
    • De Robinson, G.B.1
  • 17
    • 26644461748 scopus 로고
    • The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs
    • [Ry2]
    • [Ry2] T. Roby, The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs. Discrete Math, 139 (1995), 481-485.
    • (1995) Discrete Math , vol.139 , pp. 481-485
    • Roby, T.1
  • 19
    • 0001259916 scopus 로고
    • Longest increasing and decreasing subsequences
    • [Sch]
    • [Sch] C. Schensted, Longest increasing and decreasing subsequences, Canad. J. Math. 13 (1961), 179-191.
    • (1961) Canad. J. Math. , vol.13 , pp. 179-191
    • Schensted, C.1
  • 20
    • 0006661490 scopus 로고
    • La correspondence de Robinson
    • [Scü] D. Foata ed., Lecture Notes in Math. Springer-Verlag, New York
    • [Scü] M. Schützenberger, La correspondence de Robinson, in Combinatoire et Représentation du Groupe Symétrique, D. Foata ed., Lecture Notes in Math. Vol. 579, Springer-Verlag, New York, 1977, 59-135.
    • (1977) Combinatoire et Représentation du Groupe Symétrique , vol.579 , pp. 59-135
    • Schützenberger, M.1
  • 21
    • 0003652674 scopus 로고    scopus 로고
    • [Sta] Cambridge University Press, Cambridge
    • [Sta] R. Stanley, Enumerative Combinatorics, Vol. 2, Cambridge University Press, Cambridge, 1999.
    • (1999) Enumerative Combinatorics , vol.2
    • Stanley, R.1
  • 23
    • 0035507250 scopus 로고    scopus 로고
    • Brauer diagrams, updown tableaux and nilpotent matrices
    • [Ter]
    • [Ter] I. Terada, Brauer diagrams, updown tableaux and nilpotent matrices, J. Algebraic Combin., 14 (2001), no. 3, 229-267.
    • (2001) J. Algebraic Combin. , vol.14 , Issue.3 , pp. 229-267
    • Terada, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.