| The AIDA package will be a collection of routines to explore algebra of differential invariants: computation of generating sets of invariants, rewritings, syzygies, and their differential analogues. |
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The package builds on the Maple libraries
Groebner,
Vessiot
and
diffalg.
Initial code used IVB by I. Kogan.
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| For pre-alpha versions contact E. Hubert, as well as for comments and bug reports. | ||
| If you use the AIDA package for your research, I would love to hear about it. Whether you use it as a central tool or for exploration, please acknowledge it by refering to this web page ( http://www.inria.fr/members/Evelyne.Hubert/aida) and the related publications (see bibliography below). | ||
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amf :
Algebraic Moving Frame
Based on [HK06] the short procedure amf (included) allows you to compute a generating set of rational invariants and rewrite any invariants in terms of them. The procedure is illustrated on some simple or classical problems. As shown in [HK07] it provides an algorithmic solution to computing the Cartan's normalized invariants. dmf : Differential Moving Frame. The package provides tools to investigate the structure of the differential algebra of differential invariants: invariant derivations and their commutation rules, generationg set of differential invariants and their differential syzygies. The code is based on [HK08] and [H08]. Examples include: Euclidean action on space curves and surfaces, retrieving there the Codazzi equation, equi-affine action on surfaces, etc... |