Abstract
We consider a number of generalizations of tensors such as strings and new-tensors, of interest in particular in statistics. We give a general treatment of such objects and show that their properties can be described by the representation theory of an infinite-dimensional group. This group is defined and some of its representations examined. As there is no developed representation theory for this group a number of conjectures are made.
Reference11 articles.
1. Barndorff-Nielsen 0. E. 1987 On some differential geometric concepts of relevance in statistics. In Proc. Geometrization of Statistics Workshop (ed. C. T. J. Dodson). UDLM Publications Mathematics Department Lancaster University.
2. [The Geometry of Asymptotic Inference]: Comment
3. Derivative strings: contravariant aspect
4. Strings: mathematical theory and statistical examples
5. Co-ordinate-free definition of structurally symmetric derivative strings. Adv. appl;Barndorff-Nielsen O. E.;Math.,1988
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The spherical phylon group and invariants of the Laplace approximation;Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;1998-05-08
2. Finite-dimensional algebraic representations of the infinite phylon group;Acta Applicandae Mathematicae;1992-09
3. Derivative strings, differential strings and semi-holonomic jets;Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences;1992-01-08