Computing homomorphism spaces between modules over finite dimensional algebras

Experimental Mathematics

Volumn 12, Issue 1, 2003, Pages 91-98

  Lux, Klaus M ^a   Szőke, Magdolna ^b  

^a The University of Arizona   (United States)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

Algebras; Algorithm; Homomorphism spaces

Indexed keywords

EID: 0142169484     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2003.10504714     Document Type: Article

References (9)

1. W. Bosma and J. Cannon. Handbook of Magma Functions. Sidney: School of Mathematics, University of Sydney, 1999.
2. E. L. Green, L. S. Heath, and C. A. Stru- ble. “Constructing Homomorphism Spaces and Endomorphism Rings.” J. of Symbolic Computation 32: 1-2 (2001), 101-117.
3. K. Lux, J. Müller, and M. Ringe. “Peakword Condensation and Submodule Lattices: An Application of the Meat-Axe.” J. Symbolic Computation 17 (1994), 529-544.
4. K. M. Lux and M. Szőke. “Decomposing Modules of Finite Dimensional Algebras.” In preparation, 2003.
5. K. Lux and M. Wiegelmann. “Determination of Socle Series using the Condensation Method.” J. of Symbolic Computation 31: 1-2 (2001), 163-178.
6. R. A. Parker. “The Computer Calculation of Modular Characters (the Meat-Axe).” In Computational Group Theory, edited by M. D. Atkinson, pp. 267-274. New York: Academic Press, 1984.
7. M. Ringe. The C-Meat-Axe, Version 2.4.0. RWTH Aachen. Available from World Wide Web (http://www.math.rwth-aachen.de/LDFM/homes/MTX/download.html), 2001.
8. G. J. A. Schneider. “Computing with Endomorphism Rings of Modular Representations.” J. of Symbolic Computation 9 (1990), 607-636.
9. M. Szoke. “Computing Green Correspondents of Weight Modules.” PhD diss., Aachener Beitrage zur Mathematik, 1998.