Introducing the Jucys-Murphy elements in the context of Alfred Young‘s seminormal representation in the representation theory of the symmetric group:
G. E. Murphy, A new construction of Young’s seminormal representation of the symmetric groups, Journal of Algebra Volume 69, Issue 2, April 1981, Pages 287-297 (doi:10.1016/0021-8693(81)90205-2)
G. E. Murphy, The idempotents of the symmetric group and Nakayama’s conjecture, Journal of Algebra Volume 81, Issue 1, March 1983, Pages 258-265 (pdf)
G. E. Murphy, On the representation theory of the symmetric groups and associated Hecke algebras, J. Algebra 152 (1992) 492–513 (pdf, doi:10.1016/0021-8693(92)90045-N))
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