Maple packages and Java applets for classification problems in geometry and algebra. I briefly describe an on-going project at Utah State University to create Maple software and Java applets for use in classification problems in geometry and algebra. The first problem we are currently working on deals with Petrov’s remarkable classification of all 4-dimensional local group actions which admit a Lorentz invariant metric; the second focuses on the classification of low dimensional Lie algebras. The software which supports our work on these two classification problems is part of the Maple suite of software packages called Vessiot, an integrated collection of Maple programs for computations in differential geometry, Lie algebras and the variational calculus on jet spaces.
Keywords for this software
References in zbMATH (referenced in 6 articles , 1 standard article )
Showing results 1 to 6 of 6.
- Poole, Douglas; Hereman, Willy: Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions (2011)
- Hereman, Willy; Adams, Paul J.; Eklund, Holly L.; Hickman, Mark S.; Herbst, Barend M.: Direct methods and symbolic software for conservation laws of nonlinear equations (2009)
- Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark: Continuous and discrete homotopy operators and the computation of conservation laws (2005)
- Hubert, Evelyne: Differential algebra for derivations with nontrivial commutation rules (2005)
- Anderson, Ian M.: Maple packages and Java applets for classification problems in geometry and algebra (2004)
- Kogan, Irina A.: Inductive construction of moving frames (2001)