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The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU (2)$ and $SO (3)$ .

Godunov, S.K., Gordienko, V.M. (2004)

Sibirskij Matematicheskij Zhurnal

The dual group of a dense subgroup

William Wistar Comfort, S. U. Raczkowski, F. Javier Trigos-Arrieta (2004)

Czechoslovak Mathematical Journal

Throughout this abstract, $G$ is a topological Abelian group and $\hat{G}$ is the space of continuous homomorphisms from $G$ into the circle group $𝕋$ in the compact-open topology. A dense subgroup $D$ of $G$ is said to determine $G$ if the (necessarily continuous) surjective isomorphism $\hat{G} ↠ \hat{D}$ given by $h \mapsto h | D$ is a homeomorphism, and $G$ is determined if each dense subgroup of $G$ determines $G$ . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...

Displaying 1 – 5 of 5

The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU (2)$ and $SO (3)$ .

The dual group of a dense subgroup

The topological Hawaiian earring group does not embed in the inverse limit of free groups.

Topological groups and uniform continuity

Transforms associated to square integrable group representations. II : examples

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of SU ( 2 ) and SO ( 3 ) .

The dual group of a dense subgroup

The topological Hawaiian earring group does not embed in the inverse limit of free groups.

Topological groups and uniform continuity

Transforms associated to square integrable group representations. II : examples

Currently displaying 1 – 5 of 5

The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of $SU (2)$ and $SO (3)$ .