Stirling numbers, Eulerian idempotents and a diagram complex

被引:0
|
作者
Stoimenow, A [1 ]
机构
[1] Humboldt Univ, Math Inst, D-10099 Berlin, Germany
关键词
pure braid chord diagrams; Eulerian idempotents; Drinfel'd associator; Hochschild cohomology; Harrison cohomology; shuffles;
D O I
10.1142/S0218216598000152
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a homological explanation of the ideals of the Eulerian elements in the ring of the symmetric group in terms of subspaces of relations in the Kohno algebra of singular braid diagrams and discuss some known and new properties of Eulerian elements.
引用
收藏
页码:231 / 256
页数:26
相关论文
共 50 条
  • [31] STIRLING NUMBERS AND RECORDS
    IMHOF, JP
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1983, 34 (02) : 252 - 254
  • [32] A GENERALIZATION OF THE STIRLING NUMBERS
    LOEB, DE
    DISCRETE MATHEMATICS, 1992, 103 (03) : 259 - 269
  • [33] ASSOCIATED STIRLING NUMBERS
    HOWARD, FT
    FIBONACCI QUARTERLY, 1980, 18 (04): : 303 - 315
  • [34] Stirling numbers revisited
    Scurr, R
    Olive, G
    DISCRETE MATHEMATICS, 1998, 189 (1-3) : 209 - 219
  • [35] CLOSED FORMULAS FOR SPECIAL BELL POLYNOMIALS BY STIRLING NUMBERS AND ASSOCIATE STIRLING NUMBERS
    Qi, Feng
    Lim, Dongkyu
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2020, 108 (122): : 131 - 136
  • [36] On a convolution of Eulerian numbers
    Callan, D
    AMERICAN MATHEMATICAL MONTHLY, 1999, 106 (07): : 690 - 691
  • [37] EULERIAN NUMBERS AND OPERATORS
    CARLITZ, L
    SCOVILLE, R
    FIBONACCI QUARTERLY, 1975, 13 (01): : 71 - 83
  • [38] Remixed Eulerian numbers
    Nadeau, Philippe
    Tewari, Vasu
    FORUM OF MATHEMATICS SIGMA, 2023, 11
  • [39] ON EXTENDED EULERIAN NUMBERS
    Bayad, Abdelmejid
    Hernane, Mohand Ouamar
    Togbe, Alain
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2016, 55 (01) : 113 - 130
  • [40] CONGRUENCES FOR EULERIAN NUMBERS
    CARLITZ, L
    RIORDAN, J
    DUKE MATHEMATICAL JOURNAL, 1953, 20 (03) : 339 - 343