Fetching the paper…
Reading the bibliography…
A factorization of a permutation into transpositions is called "primitive" if its factors are weakly ordered.
J. Dénes, The representation of a permutation as the product of a minimal number of transpositions and its connection with the theory of graphs , Publ. Inst. Math. Hungar. Acad. Sci. 4
1959
Earlier work this paper cites.
A. Jucys, Symmetric polynomials and the center of the symmetric group ring, Rep. Math. Phys., 5
1974
Earlier work this paper cites.
B. De Wit, G. ’t Hooft, Nonconvergence of the 1 / N 1/N expansion for S U ( N ) SU(N) gauge fields on a lattice, Phys. Lett. B, 69
1977
Earlier work this paper cites.
G. E. Murphy, A new construction of Young’s seminormal representation of the symmetric groups, J. Algebra, 69
1981
Earlier work this paper cites.
R. P. Stanley, On the number of reduced decompositions of elements of Coxeter groups , European J. Combin. 5
1984
Earlier work this paper cites.
J. Harer, D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math., 85
1986
Earlier work this paper cites.
D. M. R. Jackson, Some combinatorial problems associated with products of conjugacy classes of the symmetric group , J. Combin. Theory Ser. A. 49
1988
Earlier work this paper cites.
D. J. Gross, W. Taylor IV, Two-dimensional QCD is a string theory , Nucl. Phys. B 400
1993
Earlier work this paper cites.
M. Haiman, Conjectures on the quotient ring by diagonal invariants, J. Algebraic Combin., 3
1994
Earlier work this paper cites.
A. Okounkov, Young basis, Wick formula, and higher Capelli identities, Int. Math. Res. Not., 17
1996
Cited alongside, same era.
A. Okounkov, A. Vershik, A new approach to representation theory of symmetric groups, Selecta Math. (N.S.), 2
1996
Cited alongside, same era.
I. P. Goulden, D. M. Jackson, Transitive factorizations into transpositions and holomorphic mappings on the sphere , Proc. Amer. Math. Soc. 125
1997
Cited alongside, same era.
B. Shapiro, M. Shapiro, A. Vainshtein, Ramified covers of S 2 S^{2} with one degenerate branching point and the enumeration of edge-ordered graphs , Adv. in Math. Sci. (AMS Transl.) 34
1997
Cited alongside, same era.
R. P. Stanley, Parking functions and noncrossing partitions, Electron. J. Combin., 4
1997
Cited alongside, same era.
P. van Moerbeke, Random matrices and permutations, matrix integrals and integrable systems , Sém N. Bourbaki, 1999-2000, exp. No. 879, 411-433
2000
Later among the works it cites.
T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein, Hurwitz numbers and moduli spaces of curves , Invent. Math. 146
2001
Later among the works it cites.
B. Collins, Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability, Int. Math. Res. Not., 17
2003
Later among the works it cites.
D. A. Gewurz, F. Merola, Some factorisations counted by Catalan numbers , European J. Combin. 27
2006
Later among the works it cites.
O. Angel, A. E. Holroyd, D. Romik, B. Virág, Random sorting networks , Adv. Math. 215
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
I. Pak, Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and k k -ary trees , Discrete Math. 204
1999
Cited alongside, same era.
R. P. Stanley, Enumerative combinatorics, Vol. 1 & 2, Cambridge Studies in Advanced Mathematics, 49 & 62, Cambridge University Press, Cambridge, 1997 & 1999
1999
Cited alongside, same era.
A. Okounkov, Random matrices and random permutations, Int. Math. Res. Not., 20
2000
Cited alongside, same era.
P. Etingof. Mathematical ideas and notions of quantum field theory, available at http://www-math.mit.edu/ ∼ \sim etingof/
Cited in the paper.
V. Féray, Partial Jucys-Murphy elements and star factorizations , arXiv:0904.4854v1
Cited in the paper.
A. M. Garsia, The saga of reduced factorizations of elements of the symmetric group , available at http://www.math.ucsd.edu/ ∼ \sim garsia/
Cited in the paper.
A. Hurwitz, Über Riemann’sche flächen mit gegebenen verzweigungspunkten , Math. Ann. 39
Cited in the paper.
I. P. Goulden, D. M. Jackson, Transitive powers of Young-Jucys-Murphy elements are central, J. Algebra 321
2009
Later among the works it cites.
J. Irving, A. Rattan, Minimal factorizations of permutations into star transpositions , Discrete Math. 309
2009
Later among the works it cites.
S. Matsumoto, J. Novak, Jucys-Murphy elements and unitary matrix integrals , 2009, 44 pages, submitted
2009
Later among the works it cites.