A description of the two-dimensional representations of the dihedral group over the commutative local rings (in Ukrainian)

The full description of the two-dimensional representations of the dihedral group $D_{m} =leftlangle a,b{rm}left|{rm }a^{m}=1,{rm}b^{2} =1,{rm ; }bab^{-1} =a^{-1} right. rightrangle,$ $m>1$ over the commutative local rings, is proposed from the point of view of a unified position. The conditions for their irreducibility, indecomposable and equivalency are found.