dc.contributor.author |
Ntumba, Patrice P.
|
|
dc.date.accessioned |
2016-10-13T07:36:45Z |
|
dc.date.available |
2016-10-13T07:36:45Z |
|
dc.date.issued |
2012-04 |
|
dc.description.abstract |
A Clifford A-algebra of a quadratic A-module (E, q) is an associative
and unital A-algebra (i.e. sheaf of A-algebras) associated with
the quadratic ShSetX-morphism q, and satisfying a certain universal
property. By introducing sheaves of sets of orthogonal bases (or simply
sheaves of orthogonal bases), we show that with every Riemannian quadratic
free A-module of finite rank, say, n, one can associate a Clifford
free A-algebra of rank 2n. This “main” result is stated in Theorem 3.2. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.librarian |
hb2016 |
en_ZA |
dc.description.uri |
http://link.springer.com/journal/6 |
en_ZA |
dc.identifier.citation |
Ntumba, PP 2012, 'Clifford A-algebras of quadratic A-modules', Advances in Applied Clifford Algebras, vol. 22, no. 4, pp. 1093-1107. |
en_ZA |
dc.identifier.issn |
0188-7009 (print) |
|
dc.identifier.issn |
1661-4909 (online) |
|
dc.identifier.other |
10.1007/s00006-012-0333-9 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/57139 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
Springer |
en_ZA |
dc.rights |
© 2012 Springer Basel AG. The original publication is available at : http://link.springer.com/journal/6. |
en_ZA |
dc.subject |
Clifford A-morphism |
en_ZA |
dc.subject |
Qquadratic A-module |
en_ZA |
dc.subject |
Riemannian quadratic A-module |
en_ZA |
dc.subject |
Clifford A-algebra |
en_ZA |
dc.subject |
Principal A-automorphism |
en_ZA |
dc.subject |
Even sub-A-algebra |
en_ZA |
dc.subject |
A-antiautomorphism |
en_ZA |
dc.subject |
Sub-A-module of odd products |
en_ZA |
dc.title |
Clifford A-algebras of quadratic A-modules |
en_ZA |
dc.type |
Postprint Article |
en_ZA |