Co.Al.A.R.
Computational
Algebraic Analysis
Results
Additions to our papers, further calculations, further discussion of results
Last updated on May 2007
for any question on this site or any of the CoAlA webpages, please contact alberto
[at] tlc185.com
1) QUATERNIONIC MEGAFORMS and
HYPERFUNCTIONS
[CDSS2]:
Updated May 2007
You can download here the
PDF file of the appendix to our
paper Quaternionic hyperfunctions on 5-dimensional varieties on H2
[CDSS2]. It contains some
further calculations describing the
syzygies for the Cauchy-Fueter operator in two quaternionic variables which we
cut from the latest version of our paper for the sake of brevity.
2) DIRAC OPERATOR
[SSSVL]:
Our latest
calculation of the Betti
numbers for the resolution associated to 3 and 4 operators
3) NOETHERIAN
OPERATORS [DSS]:
Some
experiments
performed using our algorithms, includes CPU times
4)
BIREGULAR FUNCTIONS [DSS1]:
Betti numbers, Clebsch-Gordan
coefficients, and some computation for other two invariant operators related
to the R.-S.
REFERENCES:
(click on [XXX] to follow the MathSciNet link or the link to a preprint if
available)
[SSSVL] I. Sabadini, F. Sommen, D.C. Struppa, D.C. and P.
Van Lancker.
Complexes of Dirac operators in Clifford algebras,
Math. Zeit., 239 no.2, 293-320, 2002
[DSS]
A. Damiano,
I.
Sabadini, D. Struppa,
Computational
Methods for the Construction of a Class of Noetherian Operators,
Submitted 2005
[DSS1]
A. Damiano,
I.
Sabadini, D. Struppa,
New algebraic
properties of biregular functions in 2n
quaternionic variables,
Complex
Variables, 206