Modular symmetry classes of tensors

M. Shahryari*, M. A. Shahabi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-zero. Then we use modular symmetry classes of tensors to study the polynomial representations of GL(V), where V is a vector space over a field of characterisitic p. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.

Original languageEnglish
Pages (from-to)417-433
Number of pages17
JournalTurkish Journal of Mathematics
Volume23
Issue number3
Publication statusPublished - 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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