On infinitesimal structure of a hypergroup that originates from a Lie group

Authors

  • A. A. Kalyuzhnyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • G. B. Podkolzin Ukrainian National Technical University (`KPI'), 37, prospect Peremogy, Kyiv, 03056, Ukraine
  • Yu. A. Chapovsky Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

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Keywords:

Abstract

We describe an infinitesimal algebra to a hypergroup constructed from a Lie group and a conditional expectation. We also prove a theorem on a decomposition of the conditional expectation into the product of a counital conditional expectation and the one that arises in the double coset construction.

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Published

2011-12-25

Issue

Vol. 17 No. 4 (2011)

Section

Articles

How to Cite

Kalyuzhnyi, A. A., et al. “On Infinitesimal Structure of a Hypergroup That Originates from a Lie Group”. Methods of Functional Analysis and Topology, vol. 17, no. 4, Dec. 2011, pp. 319-2, https://zen.imath.kiev.ua/index.php/mfat/article/view/496.