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Representation Theory And Algebraic Geometry

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2 domain-specific abstractions whose origin domain is Representation Theory And Algebraic Geometry.

  • Borel–Weil–Bott theorem — A theorem realizing irreducible representations of compact or complex semisimple Lie groups as the unique nonzero cohomology of suitable line bundles on flag varieties.
  • Deligne–Lusztig theory — A geometric construction of representations of finite groups of Lie type from compactly supported l-adic cohomology of varieties associated with reductive groups, Frobenius maps, and maximal tori.