Bilinear forms for SL(2,q), An and similar groups.

Turull, Alexandre. "Bilinear forms for SL(2,q), An and similar groups.." Publicacions Matemàtiques 36.2B (1992): 1001-1010. <http://eudml.org/doc/41765>.

@article{Turull1992,
abstract = {The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.},
author = {Turull, Alexandre},
journal = {Publicacions Matemàtiques},
keywords = {representations; symmetric bilinear forms; irreducible modules; characteristic zero; double covers; symmetric groups; alternating groups; real field},
language = {eng},
number = {2B},
pages = {1001-1010},
title = {Bilinear forms for SL(2,q), An and similar groups.},
url = {http://eudml.org/doc/41765},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Turull, Alexandre
TI - Bilinear forms for SL(2,q), An and similar groups.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 1001
EP - 1010
AB - The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
LA - eng
KW - representations; symmetric bilinear forms; irreducible modules; characteristic zero; double covers; symmetric groups; alternating groups; real field
UR - http://eudml.org/doc/41765
ER -