Small-dimensional projective representations of symmetric and alternating groups

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.

Original languageEnglish (US)
Pages (from-to)1773-1816
Number of pages44
JournalAlgebra and Number Theory
Volume6
Issue number8
DOIs
StatePublished - 2012

Fingerprint

Projective Representation
Alternating group
Symmetric group
Branching
Classify
Lower bound

Keywords

  • Double covers of symmetric groups
  • Modular representation theory

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Small-dimensional projective representations of symmetric and alternating groups. / Kleshchev, Alexander S.; Tiep, Pham Huu.

In: Algebra and Number Theory, Vol. 6, No. 8, 2012, p. 1773-1816.

Research output: Contribution to journalArticle

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