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- module symmetry;
- %
- % ----------------------------------------------------------
- % Symmetry Package
- % ----------------------------------------------------------
- %
- % Author : Karin Gatermann
- % Konrad-Zuse-Zentrum fuer
- % Informationstechnik Berlin
- % Heilbronner Str. 10
- % W-1000 Berlin 31
- % Germany
- % Email: Gatermann@sc.ZIB-Berlin.de
- %
- % Version 1.0 9. December 1991
- %
- % Abstract:
- % ---------
- % This program is an implementation of the algorithm
- % for computation of symmetry adapted bases from the
- % theory of linear representations of finite grous.
- % Projections for the computation of block diagonal form
- % of matrices are computed having the symmetry of a group.
- %
- %
- % REDUCE 3.4 is required.
- %
- % References:
- % -----------
- % J.-P. Serre, Linear Representations of Finite Groups.
- % Springer, New York (1977).
- % E. Stiefel, A. F{\"a}ssler, Gruppentheoretische
- % Methoden und ihre Anwendung. Teubner, Stuttgart (1979).
- % (English translation to appear by Birkh\"auser (1992)).
- %
- % Keywords:
- % --------
- % linear representations, symmetry adapted bases,
- % matrix with the symmetry of a group,
- % block diagonalization
- %
- % symmetry.red
- % definition of available algebraic operators
- % To build a fast loading version of this package, the following
- % sequence of commands should be used:
- create!-package('(symmetry symdata1 symdata2),'(contrib symmetry));
- load!-package 'symaux;
- endmodule;
- end;
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