TY  - JOUR
AB  - It is proved that the epimorphisms in the category of compact groups are surjective. The proof is based on the representation theory of compact groups, especially on the well-known fact, that for a closed proper subgroup H of a compact group G there exists an irreducible representation of G which, when restricted to H, contains the unit representation.
DA  - 1970
KW  - Finite-dimensional representations
KW  - Compact groups
KW  - Epimorphisms
KW  - Category
KW  - Unitary transformations
LA  - eng
IS  - 3
M2  - 503
PY  - 1970
SN  - 1099-6826
SP  - 503-504
T2  - Proceedings of the American Mathematical Society
TI  - Epimorphisms of compact groups are onto
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-8950
Y2  - 2024-11-22T02:14:23
ER  -