Applications of the Wall form to unipotent isometries of index two

AuthorsA. H. Nokhodkar
JournalCOMMUN ALGEBRA
Page number1019--1027
Serial number3
Volume number45
Paper TypeOriginal Research
Published At2017
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of

Abstract

We investigate the Wall form of unipotent elements of index two in the orthogonal group and obtain a decomposition for these elements. Also, in characteristic two, the relation between the Wall form and some invariants of the induced involution on the Clifford algebra is studied.