Lie algebras, modules, dual quaternions and algebraic methods in kinematics
作者： D.P Chevallier
DOI: 10.1016/0094-114X(91)90043-4
关键词: Dimension of an algebraic variety 、 Function field of an algebraic variety 、 Algebraic operation 、 Algebra 、 Representation theory 、 Algebraic extension 、 Real algebraic geometry 、 Mathematics 、 Algebraic function 、 Algebraic cycle
摘要: Abstract A systematic coordinate-free exposition of the different algebraic operations in set infinitesimal displacements (screws) and their relations with finite is developed. Six basic generate several structures, particular Lie algebra module over dual number ring endowed a valued inner product. An extension Veldkamp's theorem (different from one proposed by Prakash Agrawal) an intrinsic new definition quaterions are given. The following examples show efficiency methods deduction results very short proofs.
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