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2003 The Dirac Complex on Abstract Vector Variables: Megaforms
Irene Sabadini, Frank Sommen, Daniele C. Struppa
Experiment. Math. 12(3): 351-364 (2003).


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.


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Irene Sabadini. Frank Sommen. Daniele C. Struppa. "The Dirac Complex on Abstract Vector Variables: Megaforms." Experiment. Math. 12 (3) 351 - 364, 2003.


Published: 2003
First available in Project Euclid: 15 June 2004

zbMATH: 1078.30044
MathSciNet: MR2034398

Primary: 30G35‎
Secondary: 16E05

Keywords: Complexes of hypercomplex operators , differential forms , Dirac operator , radial algebra , syzgies

Rights: Copyright © 2003 A K Peters, Ltd.

Vol.12 • No. 3 • 2003
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