Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
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TY - CHAP
T1 - LUCY
T2 - a Clifford algebra approach to spinor calculus
AU - Schray, Jörg
AU - Tucker, Robin
AU - Wang, Charles
PY - 1996
Y1 - 1996
N2 - LUCY is a MAPLE program that exploits the general theory of Clifford algebras to effect calculations involving real or complex spinor algebra and spinor calculus on manifolds in any dimension. It is compatible with both release 2 and release 3 of MAPLE V and incorporates a number of valuable facilities such as multilinearity of the Clifford product and the freedom to adopt arbitrary bases in which to perform calculations. The user can also pass with ease between the purely (real or complex) Clifford algebraic language and the more familiar matrix language. LUCY enables one to explore the structure of spinor covariant derivatives on flat or curved spaces and correlate the various spinor-inner products with the basic involutions of the underlying Clifford algebra. The canonical spinor covariant derivative is based on the Levi-Civita connection and a facility for the computation of connection coefficients has also been included. A self-contained account of the facilities available is provided together with a description of the syntax, illustrative examples for each procedure and a brief survey of the algorithms that are used in the program.
AB - LUCY is a MAPLE program that exploits the general theory of Clifford algebras to effect calculations involving real or complex spinor algebra and spinor calculus on manifolds in any dimension. It is compatible with both release 2 and release 3 of MAPLE V and incorporates a number of valuable facilities such as multilinearity of the Clifford product and the freedom to adopt arbitrary bases in which to perform calculations. The user can also pass with ease between the purely (real or complex) Clifford algebraic language and the more familiar matrix language. LUCY enables one to explore the structure of spinor covariant derivatives on flat or curved spaces and correlate the various spinor-inner products with the basic involutions of the underlying Clifford algebra. The canonical spinor covariant derivative is based on the Levi-Civita connection and a facility for the computation of connection coefficients has also been included. A self-contained account of the facilities available is provided together with a description of the syntax, illustrative examples for each procedure and a brief survey of the algorithms that are used in the program.
U2 - 10.1007/978-1-4615-8157-4_8
DO - 10.1007/978-1-4615-8157-4_8
M3 - Chapter
SN - 9781461581598
SP - 121
EP - 143
BT - Clifford algebras with numeric and symbolic computations
A2 - Abłamowicz, Rafał
A2 - Parra, Josep M.
A2 - Lounesto, Pertti
PB - Birkhäuser Verlag
CY - Boston
ER -