2017
Том 69
№ 9

# Representation of an algebra associated with the Dynkin graph $\tilde E_7$

Ostrovskii V. L.

Abstract

We describe the structure of pairs of self-adjoint operators $A$ and $B$ whose spectra belong to the set $\{±1/2, ±3/2\}$ and for which $(A+B)^2 = I$. Such pairs of operators determine a representation of a *-algebra $A_{\tilde E_7 }$ associated with the extended Dynkin graph $\tilde E_7$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 9, pp 1417–1428.

Citation Example: Ostrovskii V. L. Representation of an algebra associated with the Dynkin graph $\tilde E_7$ // Ukr. Mat. Zh. - 2004. - 56, № 9. - pp. 1193–1202.

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