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Complex representations of the general linear group of third degree over a residue ring modulo a primary integer

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Abstract

A classification is obtained of the irreducible representations of the group indicated in the title. It is shown that a description of the complex representations of the general linear group of arbitrary degree over a residue ring modulo a primary number contains the problem of a matrix pair.

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Literature cited

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 75, pp. 143–150, 1978.

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Nagornyi, S.V. Complex representations of the general linear group of third degree over a residue ring modulo a primary integer. J Math Sci 37, 1015–1021 (1987). https://doi.org/10.1007/BF01089095

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Keywords

  • Irreducible Representation
  • Primary Number
  • Linear Group
  • Complex Representation
  • General Linear Group