A functional approach to a Gelfand-Tsetlin type base for ${\mathfrak{o}}_5$

Dmitry Artamonov

A realization of representations of the Lie algebra ${\mathfrak{o}}_5$ in the space of functions on a group $Spi{n}_5\simeq S{p}_4$ is considered. In a representation we take a Gelfand-T…