Representation Theory for Groups of Lie Type I

Representation Theory for Groups of Lie Type I

Hausdorff Center for Mathematics via YouTube Direct link

FINITE REDUCTIVE GROUPS Let G be a connected reductive algebraic group over Fandlet Fbe a Frobenius map of G

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7 of 15

FINITE REDUCTIVE GROUPS Let G be a connected reductive algebraic group over Fandlet Fbe a Frobenius map of G

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Classroom Contents

Representation Theory for Groups of Lie Type I

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  1. 1 Intro
  2. 2 THE CLASSIFICATION OF THE FINITE SIMPLE GROUPS
  3. 3 THE FINITE CLASSICAL GROUPS Examples for finite groups of Lie lype are the finite dassical
  4. 4 EXCEPTIONAL GROUPS
  5. 5 THE ORDERS OF SOME FINITE GROUPS OF LIE TYPE
  6. 6 FINITE GROUPS OF LIE TYPE VS. FINITE REDUCTIVE GROUPS
  7. 7 FINITE REDUCTIVE GROUPS Let G be a connected reductive algebraic group over Fandlet Fbe a Frobenius map of G
  8. 8 EXAMPLE: THE UNITARY GROUPS
  9. 9 THE LANG-STEINBERG THEOREM
  10. 10 MAXIMAL TORI AND THE WEYL GROUP
  11. 11 MAXIMAL TORI OF FINITE REDUCTIVE GROUPS
  12. 12 THE CLASSIFICATION OF MAXIMAL TORI
  13. 13 BN-PATRS
  14. 14 COXETER GROUPS
  15. 15 EXAMPLES FOR PARABOLIC SURGROUPS. IT

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