In this paper, we propose a method to obtain the syzygies of the Dirac complex defined on abstract vector variables. We propose a generalized theory of differential forms which acts as a de Rham-like sequence for the Dirac complex and we show that closure in this complex is equivalent to the syzygies for the Dirac complex.
Publié le : 2003-05-14
Classification:
Complexes of hypercomplex operators,
Dirac operator,
differential forms,
radial algebra,
syzgies,
30G35,
16E05
@article{1087329237,
author = {Sabadini, Irene and Sommen, Frank and Struppa, Daniele C.},
title = {The Dirac Complex on Abstract Vector Variables: Megaforms},
journal = {Experiment. Math.},
volume = {12},
number = {1},
year = {2003},
pages = { 351-364},
language = {en},
url = {http://dml.mathdoc.fr/item/1087329237}
}
Sabadini, Irene; Sommen, Frank; Struppa, Daniele C. The Dirac Complex on Abstract Vector Variables: Megaforms. Experiment. Math., Tome 12 (2003) no. 1, pp. 351-364. http://gdmltest.u-ga.fr/item/1087329237/