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Original Articles

Double centralizing theorem for wreath products of the alternating group

Pages 490-501 | Received 06 Mar 2018, Accepted 04 May 2018, Published online: 17 Jan 2019

References

  • Regev, A. (1986). The representations of wreath products via double centralizing theorems. J. Algebra 102(2):423–443.
  • Berele, A., Regev, A. (1987). Hook young diagrams with applications to combinatorics and to representations of lie superalgebras. Adv. Math. 64(2):118–175.
  • Regev, A. (2002). Double centralizing theorems for the alternating groups. J. Algebra 250(1):335–352.
  • Henke, A., Regev, A. (2002). Weyl modules for the schur algebra of the alternating group. J. Algebra 257(1):168–196.
  • Schur, I. (1973). Über Die Rationalen Darstellungen Der Allgemeinen Linearen Gruppe (1927) [German], in “I. Schur, Gesammelte Abhandlungen III”, pp. 68–85. Berlin: Springer-Verlag.
  • Sergeev, A. (1984). The tenzor algebra of the identity representation as a module over the lie superalgebras gl(n, m) and Q(n). Mat. Sb. 123(165):3, pp. 422–430 [Russian], Mathematics of the USSR-Sbornik, 1985, 51:2, pp. 419–427 [in English]

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