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Brandt matrix

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In mathematics, Brandt matrices are matrices, introduced by Brandt (1943), that are related to the number of ideals of given norm in an ideal class of a definite quaternion algebra over the rationals, and that give a representation of the Hecke algebra. Eichler (1955) calculated the traces of the Brandt matrices.

References

  • Brandt, Heinrich (1943), "Zur Zahlentheorie der Quaternionen", Jahresbericht der Deutschen Mathematiker-Vereinigung, 53: 23–57, ISSN 0012-0456, MR0017775
  • Eichler, Martin (1955), "Zur Zahlentheorie der Quaternionen-Algebren", Journal für die reine und angewandte Mathematik, 195: 127–151, ISSN 0075-4102, MR0080767
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