On existence of $*$-representations of certain algebras related to extended Dynkin graphs

Authors

  • K. A. Yusenko Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

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Abstract

For $*$-algebras associated with extended Dynkin graphs, we investigate a set of parameters for which there exist representations. We give structure properties of such sets and a complete description for the set related to the graph $\tilde D_4$.

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Published

2006-06-25

Issue

Vol. 12 No. 2 (2006)

Section

Articles

How to Cite

Yusenko, K. A. “On Existence of $*$-Representations of Certain Algebras Related to Extended Dynkin Graphs”. Methods of Functional Analysis and Topology, vol. 12, no. 2, June 2006, pp. 197-04, https://zen.imath.kiev.ua/index.php/mfat/article/view/313.