Cross characteristic representations of even characteristic symplectic groups

Robert M. Guralnick, Pham Huu Tiep

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Abstract

We classify the small irreducible representations of Sp 2n (q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.

Original languageEnglish (US)
Pages (from-to)4969-5023
Number of pages55
JournalTransactions of the American Mathematical Society
Volume356
Issue number12
DOIs
StatePublished - Dec 1 2004
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Cross characteristic representation
  • Finite symplectic group
  • Low dimensional representation
  • Weil representation

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