LUCY swMATH ID: 14999 Software Authors: Schray, Jörg; Tucker, Robin W.; Wang, Charles H.-T. Description: LUCY: A Clifford algebra approach to spinor calculus. LUCY is an algebra package for Maple V release 2/3, which is designed to perform calculations in Clifford bundles of real or complex (simple) Clifford algebras. The authors present the abilities of LUCY giving theory sections followed by specific illustrative examples, which also explain the syntax of the package. LUCY covers e.g. arbitrary user defined bases, multilinearity of the product, spinors and their duals with respect to several involutions, spinor inner products, an easy transition between abstract and matrix algebra and vice versa, spinor connections. The package is thus well suited to explore the Dirac operator on flat and curved manifolds. Homepage: http://rd.springer.com/chapter/10.1007/978-1-4615-8157-4_8#close Dependencies: Maple Keywords: Clifford algebra; spinor; spinor adjoint; spinor inner product; spinor covariant derivative; MAPLE; matrix representations; Dirac operator Related Software: CLICAL; Mathematica; CLIFFORD; Maple; CLUCalc; Glyph; Geometric Calculator; geoma; GA; GABLE; Gaigen; KamiWaAi; BIGEBRA; Cinderella; PLUECKER; MathTensor; KLEIN; REDUCE; LEDA; AXIOM Cited in: 5 Publications all top 5 Cited by 13 Authors 3 Abłamowicz, Rafał 2 Lounesto, Pertti 1 Baylis, William E. 1 Bebbington, David 1 Branson, Thomas Patrick 1 Göbel, Manfred 1 Parra, Josep Manel 1 Porteous, Ian R. 1 Schray, Jörg 1 Selig, J. M. 1 Sobczyk, Garret E. 1 Tucker, Robin W. 1 Wang, Charles H.-T. Cited in 2 Serials 1 Computer Physics Communications 1 Journal of Symbolic Computation all top 5 Cited in 10 Fields 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year