Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 54, No. 3, pp. 287-310 (1997)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



An Algebra of Abstract Vector Variables

F. Sommen

University of Gent, Department of Mathematical Analysis,
Galglaan 2, B-9000 Gent - BELGIUM

Abstract: In this paper we introduce an abstract algebra of vector variables that generalizes both polynomial algebra and Clifford algebra. This abstractly defined algebra and its endomorphisms contains all the basic $SO(m)$-invariant polynomials and operators used in Clifford analysis.

Full text of the article:

Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

© 1997 Sociedade Portuguesa de Matemática
© 1997–2007 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition