On the dimensions of cartesian symmetry classes

Yousef Zamani*, Mohammad Shahryari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The notion of Cartesian symmetry classes is introduced in [T. G. Lei, Notes on Cartesian symmetry classes and generalized trace functions, Linear Algebra Appl. 292 (1999) 281[288]. In this paper, we discuss these classes and compute the dimensions of these classes in terms of the fixed point character of S m. Also, we give a formula for the dimension of Cartesian symmetry class V χ(G) in terms of the rank of an idempotent matrix M(χ). Some properties of generalized trace functions of a matrix are concluded.

Original languageEnglish
Article number1250046
JournalAsian-European Journal of Mathematics
Volume5
Issue number3
DOIs
Publication statusPublished - Sep 2012
Externally publishedYes

Keywords

  • Cartesian symmetry classes
  • generalized trace functions
  • Irreducible characters

ASJC Scopus subject areas

  • Mathematics(all)

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