Lie algebraic computation

Computer Physics Communications

Volumn 97, Issue 1-2, 1996, Pages 53-62

  Cohen, A M ^a   De Graaf, W A ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CALCULATIONS; COMPUTER PROGRAMMING LANGUAGES; LIBRARIES;

COMPUTER ALGEBRA PACKAGE; LIE ALGEBRAS;

ALGORITHMS;

EID: 0030564733     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4655(96)00021-5     Document Type: Article

References (12)

1. R.E. Beck, B. Kolman and I.N. Stewart, Computing the structure of a Lie algebra, in: Computers in Non-associative Rings and Algebras (Academic Press, New York, 1977).
2. A.M. Cohen and L. Meertens, The ACELA project: Aims and Plans, to appear in: Human Interaction for Symbolic Computation, Texts and Monographs in Symbolic Computation, N. Kajler, ed. (Springer-Verlag, Vienna, 1995).
3. L.E. Dickson, Algebras and Their Arithmetics (University of Chicago Press, Chicago, 1923).
4. J.E. Humphreys, Introduction to Lie Algebras and Representation Theory (Springer-Verlag, New York, Heidelberg, Berlin, 1972).
5. N. Jacobson, Lie Algebras (Dover, New York, 1979).
6. A.I. Kostrikin, Introduction to Algebra (Springer-Verlag, New York, Heidelberg, Berlin, 1982).
7. J. Patera, P. Winternitz and H. Zassenhaus, Continuous subgroups of the fundamental groups of physics. I-General method and the Poincaré group, J. Math. Phys. 16 (1975) 1597-1641.
8. D. Rand, P. Winternitz and H. Zassenhaus, On the Identification of a Lie algebra given by its structure constants. I. Direct decompositions, Levi decompositions, and nilradicals, Linear Algebra and its Applications 109 (1988) 197-246.
9. C. Reutenauer, Free Lie algebras, LMS Monographs, New series, Vol. 7 (Oxford University Press, Oxford, 1993).
10. G.H.M. Roelofs, The LIESUPER package for REDUCE, Memorandum 943 (University of Twente, The Netherlands, 1991).
11. L. Rónyai, Computing the Structure of Finite Algebras, J. Symbolic Computation 9 (1990) 355-373.
12. L. Rónyai, G. Ivanyos and W. de Graaf, Computing Cartan subalgebras of Lie algebras, preprint (1994); AAECC, to appear.