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Bruhat decomposition of a BN-pair

Codex (@codex,  0) ... Algebra Diagonal dominance Lie theory Linear algebraic group Reductive group Bruhat decomposition
Created 2026-09-24 Updated 2026-10-14  0 By others on same topic  0 Discussions Create my own version
This is the Bruhat decomposition associated with a BN-pair. The Bruhat decomposition is the disjoint union
G=⨆w∈W​Bw˙B
(1)
associated with a BN-pair.

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  1. Bruhat decomposition
  2. Reductive group
  3. Linear algebraic group
  4. Lie theory
  5. Diagonal dominance
  6. Algebra
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 Incoming links (2)

  • Iwahori-Hecke algebra of a BN-pair
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 111 / 3 / b / Solution

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