Loop characters

Kenneth Walter Johnson

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 2, page 271-281
  • ISSN: 0010-2628

Abstract

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A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments. One of the successes of the theory has been its suggestive influence on the theory of association schemes, group representations and the theory of the group determinant, and selected results arising are described. A section is devoted to an explanation of how the tool of loop characters has not yet been as startlingly successful as that of the early theory of group characters. This may be because in the loop case more is needed than characters and some suggestions are put forward in this direction.

How to cite

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Johnson, Kenneth Walter. "Loop characters." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 271-281. <http://eudml.org/doc/248642>.

@article{Johnson2000,
abstract = {A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments. One of the successes of the theory has been its suggestive influence on the theory of association schemes, group representations and the theory of the group determinant, and selected results arising are described. A section is devoted to an explanation of how the tool of loop characters has not yet been as startlingly successful as that of the early theory of group characters. This may be because in the loop case more is needed than characters and some suggestions are put forward in this direction.},
author = {Johnson, Kenneth Walter},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; character; association scheme; loop characters; character tables; association schemes; finite quasigroups; survey},
language = {eng},
number = {2},
pages = {271-281},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Loop characters},
url = {http://eudml.org/doc/248642},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Johnson, Kenneth Walter
TI - Loop characters
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 271
EP - 281
AB - A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments. One of the successes of the theory has been its suggestive influence on the theory of association schemes, group representations and the theory of the group determinant, and selected results arising are described. A section is devoted to an explanation of how the tool of loop characters has not yet been as startlingly successful as that of the early theory of group characters. This may be because in the loop case more is needed than characters and some suggestions are put forward in this direction.
LA - eng
KW - loop; character; association scheme; loop characters; character tables; association schemes; finite quasigroups; survey
UR - http://eudml.org/doc/248642
ER -

References

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