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Invariants of the \(k\)-fold adjoint action of the Euclidean isometry group

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Publication:265627
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DOI10.1007/S00022-015-0282-2zbMath1343.13009arXiv1504.00436OpenAlexW2474627045MaRDI QIDQ265627

Mohammed Daher, Peter S. Donelan

Publication date: 4 April 2016

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00436


zbMATH Keywords

dual numberEuclidean isometry grouppolynomial invariant


Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Actions of groups on commutative rings; invariant theory (13A50) Classical or axiomatic geometry and physics (51P05)





Cites Work

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  • Distinguished figures in mechanism and machine science. Their contributions and legacies. Part 1
  • Semi-direct products of Lie algebras and their invariants
  • First-order invariants of Euclidean motions
  • The fundamental invariants of inhomogeneous classical groups
  • Geometric Fundamentals of Robotics
  • Construction of Invariants for Lie Algebras of Inhomogeneous Pseudo-Orthogonal and Pseudo-Unitary Groups
  • Invariant Polynomials on Lie Algebras of Inhomogeneous Unitary and Special Orthogonal Groups




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