Adjoint Representations and Movements

Rahula, Maido; Retšnoi, Vitali

doi:10.1007/978-3-540-85332-9_15

Adjoint Representations and Movements

Maido Rahula⁵ &
Vitali Retšnoi⁵

Chapter

1031 Accesses

The aim of this paper is to develop the theory of higher order movements by using the structure of multiple tangent bundles. In this context the meaning of invariants of polynomials and of matrices is explained. The connection with central and raw moments appearing in probability theory is established

This is a preview of subscription content, log in via an institution.

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Hardcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Th. Bröker, L. Lander, Differentiable Germs and Catastrophes, Cambridge University Press, Cambridge, 1975
Google Scholar
B.J. Cantwell, Introduction to Symmetry Analysis, Cambridge University Press, Cambridge, 2002
MATH Google Scholar
M.G. Kendall, A. Stuart, The Advanced Theory of Statistics, 1, Distribution Theory, Griffin, London, 1966
Google Scholar
M. Rahula, New Problems in Differential Geometry, World Scientific, Singapore, 1993
MATH Google Scholar
M. Rahula, Vector Fields and Symmetries, University of Tartu Press, Tartu, 2004 (in Russian)
MATH Google Scholar
M. Rahula, V. Retšnoi, Total Differentiation Under Jet Composition, Proc. of AGMF, Jour. of Nonlin. Math. Ph., 2006, pp.102–109
Google Scholar
M. Rahula, Les invariants des monvements, Proc. of the 4th Int. Colloquium of Math. in Engenering and Numerical Physics, Geometry Balkan Press, Bucharest, Pomania, 2007, 145–153
Google Scholar
J.E. White, The Methot of Iterated Tangents with Applications in Local Reimannian Geometry, Pitman, Boston, 1982
Google Scholar

Download references

Author information

Authors and Affiliations

Institute of Mathematics, University of Tartu, J. Liivi Str., 2-613, Tartu, Estonia, 50409
Maido Rahula & Vitali Retšnoi

Authors

Maido Rahula
View author publications
You can also search for this author in PubMed Google Scholar
Vitali Retšnoi
View author publications
You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Maido Rahula or Vitali Retšnoi .

Editor information

Editors and Affiliations

Centre for Mathematical Sciences, Division of Mathematics, Lund Institute of Technology, Lund University, Box 118, Lund, 221 00, Sweden
Sergei Silvestrov
Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, Tallinn, 19086, Estonia
Eugen Paal
Institute of Pure Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409, Estonia
Viktor Abramov
Department of Mathematical Sciences, Mathematical Sciences Chalmers University of Technology and Göteborg University, Göteborg, 412 96, Sweden
Alexander Stolin

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Rahula, M., Retšnoi, V. (2009). Adjoint Representations and Movements. In: Silvestrov, S., Paal, E., Abramov, V., Stolin, A. (eds) Generalized Lie Theory in Mathematics, Physics and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85332-9_15

Download citation

DOI: https://doi.org/10.1007/978-3-540-85332-9_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85331-2
Online ISBN: 978-3-540-85332-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

Publish with us

Policies and ethics

Buying options