Dual Group

In mathematics, the dual group may be:

  • The Pontryagin dual of a locally compact abelian group
  • The Langlands dual of a reductive algebraic group
  • The Deligne–Lusztig dual of a reductive group over a finite field.

Famous quotes containing the words dual and/or group:

    “Thee for my recitative,
    Thee in the driving storm even as now, the snow, the winter-day
    declining,
    Thee in thy panoply, thy measur’d dual throbbing and thy beat
    convulsive,
    Thy black cylindric body, golden brass and silvery steel,”
    —Walt Whitman (1819–1892)

    “Stripped of ethical rationalizations and philosophical pretensions, a crime is anything that a group in power chooses to prohibit.”
    —Freda Adler (b. 1934)