On the Decomposition Numbers of Steinberg's Triality Groups 3D4(2n) in Odd Characteristics

Frank Himstedt, Shih Chang Huang

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We determine the ℓ-modular decomposition matrices of Steinberg's triality groups 3D4(2n) for all primes ℓ ≠ 2 except for some entries in the unipotent characters. As an application, we classify all absolutely irreducible representations of 3D4(2n) in non-defining characteristic up to a certain degree.

Original languageEnglish
Pages (from-to)1484-1498
Number of pages15
JournalCommunications in Algebra
Volume41
Issue number4
DOIs
Publication statusPublished - 2013 Apr 1

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Modular Decomposition
Irreducible Representation
Odd
Classify
Decompose
Character

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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On the Decomposition Numbers of Steinberg's Triality Groups 3D4(2n) in Odd Characteristics. / Himstedt, Frank; Huang, Shih Chang.

In: Communications in Algebra, Vol. 41, No. 4, 01.04.2013, p. 1484-1498.

Research output: Contribution to journalArticle

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