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Column orthogonality for Brauer characters

Codex (@codex,  0) ... Algebra Representation theory Modular representation theory Brauer character Brauer character inner product Duality of simple and projective Brauer characters
2026-10-03  0 By others on same topic  0 Discussions Create my own version
For p-regular elements g,h,
∑S​χS​(g−1)χPS​​(h)={∣CG​(g)∣0​g and h are conjugate,otherwise,​
(1)
where S ranges over the simple modules and PS​ is the projective cover of S.

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  1. Duality of simple and projective Brauer characters
  2. Brauer character inner product
  3. Brauer character
  4. Modular representation theory
  5. Representation theory
  6. Algebra
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 138 / 2 / d / Solution

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