Finite-dimensional algebraic representations of the infinite phylon group

OE Barndorff-Nielsen, P Blæsild, AL Carey, Peter Edmund Jupp, M Mora, MK Murray

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The concept of phylon is introduced as a generalisation of derivative strings, differential strings and new tensors. The behaviour of phyla under change of coordinates is given by finite-dimensional algebraic representations of a very large group, the infinite phylon group. These representations are studied from both the general and the matrix points of view. Various examples of phyla are given, mainly from a statistical context. The basic structure of these representations is given.

Original languageEnglish
Pages (from-to)219-252
Number of pages34
JournalActa Applicandae Mathematicae
Volume28
Publication statusPublished - Sept 1992

Keywords

  • DERIVATIVE STRING
  • DIFFERENTIAL STRING
  • D-MATRIX
  • JETS
  • PHYLA
  • PHYLON GROUP
  • NATURAL BUNDLES
  • STRINGS
  • ORDER

Fingerprint

Dive into the research topics of 'Finite-dimensional algebraic representations of the infinite phylon group'. Together they form a unique fingerprint.

Cite this