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Volumn 76, Issue 2, 1996, Pages 197-212

Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group

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[No Author keywords available]

Indexed keywords


EID: 0030295693     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1996.0101     Document Type: Article
Times cited : (35)

References (18)
  • 2
    • 85029972102 scopus 로고    scopus 로고
    • Some properties of crossings and partitions
    • to appear
    • [Bi] P. Biane, Some properties of crossings and partitions, Discrete Math., to appear.
    • Discrete Math.
    • Biane, P.1
  • 3
    • 0003058807 scopus 로고
    • The representation of a permutation as the product of a minimal number of transpositions and its connection with the theory of graphs
    • [De] J. Denes, The representation of a permutation as the product of a minimal number of transpositions and its connection with the theory of graphs, Publ. Math. Inst. Hungar. Acad. Sci. 4 (1959), 63-70.
    • (1959) Publ. Math. Inst. Hungar. Acad. Sci. , vol.4 , pp. 63-70
    • Denes, J.1
  • 4
    • 38248998549 scopus 로고
    • Cordes, arbres et permutations
    • [Du] S. Dulucq and J. G. Penaud, Cordes, arbres et permutations, Discrete Math. 117 (1993), 89-105.
    • (1993) Discrete Math. , vol.117 , pp. 89-105
    • Dulucq, S.1    Penaud, J.G.2
  • 6
    • 0000266671 scopus 로고
    • Chain enumeration and non-crossing partitons
    • [E1] P. Edelman, Chain enumeration and non-crossing partitons, Discrete Math. 31 (1980), 171-180.
    • (1980) Discrete Math. , vol.31 , pp. 171-180
    • Edelman, P.1
  • 7
    • 0001217202 scopus 로고
    • Multichains, non-crossing partitions and trees
    • [E2] P. Edelman, Multichains, non-crossing partitions and trees, Discrete Math. 40 (1982), 171-179.
    • (1982) Discrete Math. , vol.40 , pp. 171-179
    • Edelman, P.1
  • 8
    • 38149147970 scopus 로고
    • Symmetric functions and Macdonald's result for top connexion coefficients in the symmetric group
    • [G-J] I. P. Goulden and D. M. Jackson, Symmetric functions and Macdonald's result for top connexion coefficients in the symmetric group, J. Algebra 166, No. 2 (1994), 364-378.
    • (1994) J. Algebra , vol.166 , Issue.2 , pp. 364-378
    • Goulden, I.P.1    Jackson, D.M.2
  • 9
    • 38249001492 scopus 로고
    • Labelled trees and factorisations of a cycle into transpositions
    • [G-P] I. P. Goulden and S. Pepper, Labelled trees and factorisations of a cycle into transpositions, Discrete Math. 113 (1993), 263-268.
    • (1993) Discrete Math. , vol.113 , pp. 263-268
    • Goulden, I.P.1    Pepper, S.2
  • 10
    • 0002663026 scopus 로고
    • Une théorie combinatoire des séries formelles
    • [J] A. Joyal, Une théorie combinatoire des séries formelles, Adv. Math. 42 (1981), 1-82.
    • (1981) Adv. Math. , vol.42 , pp. 1-82
    • Joyal, A.1
  • 11
    • 0002549465 scopus 로고
    • Characters and factor representations of the infinite symmetric group
    • [K-V] S. V. Kerov and A. M. Vershik, Characters and factor representations of the infinite symmetric group, Soviet. Math. Dokl. 23 (1982), 389-392.
    • (1982) Soviet. Math. Dokl. , vol.23 , pp. 389-392
    • Kerov, S.V.1    Vershik, A.M.2
  • 12
    • 0000513203 scopus 로고
    • Sur les partitions non-croisées d'un cycle
    • [K] G. Kreweras, Sur les partitions non-croisées d'un cycle, Discrete Math. 1 (1972), 333-350.
    • (1972) Discrete Math. , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 13
    • 85016679303 scopus 로고
    • A solution to a problem of Dénes, a bijection between trees and factorizations of cyclic permutations
    • [M] P. Moszkowski, A solution to a problem of Dénes, a bijection between trees and factorizations of cyclic permutations, European J. Combin. 101 (1989), 13-16.
    • (1989) European J. Combin. , vol.101 , pp. 13-16
    • Moszkowski, P.1
  • 14
    • 85029964778 scopus 로고    scopus 로고
    • A "Fourier Transform" for multiplicative functions on non-crossing partitions
    • to appear.
    • [N-S] A. Nica and R. Speicher, A "Fourier Transform" for multiplicative functions on non-crossing partitions, J. Algebraic Combin., to appear.
    • J. Algebraic Combin.
    • Nica, A.1    Speicher, R.2
  • 15
    • 0001416362 scopus 로고
    • Étude et dénombrement parallèles des partitions non-croisées d'un cycle et des coupages d'un polygone convexe
    • [P] Y. Poupard, Étude et dénombrement parallèles des partitions non-croisées d'un cycle et des coupages d'un polygone convexe, Discrete Math. 2 (1972), 279-288.
    • (1972) Discrete Math. , vol.2 , pp. 279-288
    • Poupard, Y.1
  • 16
    • 0001709714 scopus 로고
    • A new example of "independence" and "white noise"
    • [S1] R. Speicher, A new example of "independence" and "white noise", Prob. Theory Related Fields 84 (1990), 141-159.
    • (1990) Prob. Theory Related Fields , vol.84 , pp. 141-159
    • Speicher, R.1
  • 17
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions
    • [S2] R. Speicher, Multiplicative functions on the lattice of non-crossing partitions, Math. Ann. 298 (1994), 611-628.
    • (1994) Math. Ann. , vol.298 , pp. 611-628
    • Speicher, R.1
  • 18
    • 0002207827 scopus 로고
    • On the structure of the lattice of non-crossing partitions
    • [S-U] R. Simion and D. Ullman, On the structure of the lattice of non-crossing partitions, Discrete Math. 98 (1991), 193-206.
    • (1991) Discrete Math. , vol.98 , pp. 193-206
    • Simion, R.1    Ullman, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.