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GENERAL LINEAR GROUP [1 record]

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Record 1 2010-07-07

English

Subject field(s)
  • Modern Mathematics
  • Arithmetic and Number Theory
CONT

The Grothendieck ring of the category of polynomial representations of the general linear group over an infinite field is canonically isomorphic to the ring of symmetric polynomials in n variables, the correspondence being obtained by sending a representation to its formal character.

French

Domaine(s)
  • Mathématiques modernes
  • Arithmétique et théorie des nombres
CONT

Soit q une puissance d'un nombre premier p et soit G=GL (n,q(2] le groupe linéaire général de degré n sur GF (q(2]. Soit U=U(n,q) le groupe unitaire de degré n sur GF (q(2] et M=GL (n,q) le groupe linéaire général sur GF(q). On étudie les caractères des représentations permutation de G sur les co-ensembles de à la fois U et M.

Spanish

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