Geodesic
The table of characters of some quasigroups
Discussiones Mathematicae. General Algebra and Applications, Tome 27 (2007) no. 2, pp. 147-167.

Voir la notice de l'article provenant de la source Library of Science

It is known that (ℤₙ,-ₙ) are examples of entropic quasigroups which are not groups. In this paper we describe the table of characters for quasigroups (ℤₙ,-ₙ).
Keywords: quasigroups, eigenvectors, eigenspaces, characters of quasigroups 
@article{DMGAA_2007_27_2_a0,
     author = {Bi\'nczak, Grzegorz and Kaleta, Joanna},
     title = {The table of characters of some quasigroups},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {147--167},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2007_27_2_a0/}
}
TY  - JOUR
AU  - Bińczak, Grzegorz
AU  - Kaleta, Joanna
TI  - The table of characters of some quasigroups
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2007
SP  - 147
EP  - 167
VL  - 27
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2007_27_2_a0/
LA  - en
ID  - DMGAA_2007_27_2_a0
ER  - 
%0 Journal Article
%A Bińczak, Grzegorz
%A Kaleta, Joanna
%T The table of characters of some quasigroups
%J Discussiones Mathematicae. General Algebra and Applications
%D 2007
%P 147-167
%V 27
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2007_27_2_a0/
%G en
%F DMGAA_2007_27_2_a0
Bińczak, Grzegorz; Kaleta, Joanna. The table of characters of some quasigroups. Discussiones Mathematicae. General Algebra and Applications, Tome 27 (2007) no. 2, pp. 147-167. http://geodesic.mathdoc.fr/item/DMGAA_2007_27_2_a0/

[1] O. Chein, H.O. Pflugfelder and J.D.H. Smith, Quasigroups and loops: theory and applications, Berlin 1990.

[2] K.W. Johnson and J.D.H. Smith, Characters of finite quasigroups, Eur. J. Comb. 5 (1984), 43-50.

[3] J.D.H. Smith, Representation Theory of Infinite Groups and Finite Quasigroups, Université de Montréal 1986.

[4] J.D.H. Smith, Combinatorial characters of quasigroups, pp. 163-187 in: Coding Theory and Design Theory, Part I: Coding Theory, (ed. Ray-Chaudhuri), Springer, New York, NY, 1990.

[5] J.D.H. Smith, Representation Theory of quasigroups, Sci. Math. Japonicae 60 (2004), 171-204.