LUSZTIG INDUCTION, UNIPOTENT SUPPORTS, and CHARACTER BOUNDS

Jay Taylor, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Recently, a strong exponential character bound was established in [Acta Math. 221 (2018), pp. 1–57] for all elements g ∈ GF of a finite reductive group GF which satisfy the condition that the centralizer CG(g) is contained in a (G,F)-split Levi subgroup M of G and that G is defined over a field of good characteristic. In this paper, assuming a weak version of Lusztig’s conjecture relating irreducible characters and characteristic functions of character sheaves holds, we considerably generalize this result by removing the condition that M is split. This assumption is known to hold whenever Z(G) is connected or when G is a special linear or symplectic group and G is defined over a sufficiently large finite field.

Original languageEnglish (US)
Pages (from-to)8637-8676
Number of pages40
JournalTransactions of the American Mathematical Society
Volume373
Issue number12
DOIs
StatePublished - Dec 2020
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'LUSZTIG INDUCTION, UNIPOTENT SUPPORTS, and CHARACTER BOUNDS'. Together they form a unique fingerprint.

Cite this