Differential invariant algebras of Lie pseudo-groups
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Publication:734830
DOI10.1016/j.aim.2009.06.016zbMath1194.58018OpenAlexW1984117217WikidataQ104698777 ScholiaQ104698777MaRDI QIDQ734830
Juha Pohjanpelto, Peter J. Olver
Publication date: 14 October 2009
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2009.06.016
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Cites Work
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- Differential algebra for derivations with nontrivial commutation rules
- Conformal field theory
- Generating differential invariants
- Algorithms for differential invariants of symmetry groups of differential equations
- Differential invariants of a Lie group action: syzygies on a generating set
- Differential invariants of surfaces
- Real hypersurfaces in complex manifolds
- Invariants différentiels d'un pseudogroupe de Lie. II
- The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations
- Moving coframes. II: Regularization and theoretical foundations
- Involutive bases of polynomial ideals
- On the finiteness of differential invariants.
- Computational invariant theory
- The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein
- Invariant Euler--Lagrange equations and the invariant variational bicomplex
- An efficient algebraic algorithm for the geometric completion to involution
- Differential invariants of conformal and projective surfaces
- Maurer-Cartan forms and the structure of Lie pseudo-groups
- Structure of symmetry groups via Cartan's method: survey of four approaches
- Associative differential operations
- What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
- Maurer–Cartan equations for Lie symmetry pseudogroups of differential equations
- INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM
- Moving Frames for Lie Pseudo–Groups
- On the arbitrariness of the general solution of an involutive partial differential equation
- Lifting standard bases in filtered structures
- Reduction of systems of nonlinear partial differential equations to simplified involutive forms
- An Introduction to Numerical Analysis
- Contributions to constructive polynomial ideal theory XXIII
- Moving frames for laplace invariants
- Algorithms for symmetric differential systems
