I want to label a duplicate edge I have with different labels in an adjacency graph.

So far I have this:


    AdjacencyGraph[({
       {1, 1},
       {1, 2}
      }), VertexLabels -> {1 -> "v", 2 -> "u"}, DirectedEdges -> True, 
     EdgeLabels -> {(1 -> 1) -> "\[Delta]", (1 -> 2) -> 
        "\[Gamma]", (2 -> 1) -> "\[Beta]", (2 -> 2) -> "\[Alpha]"}]

Which gives me this:

[![enter image description here][1]][1]


  [1]: https://i.sstatic.net/KFtQT.jpg

Is there a way to label one as \[Alpha]_1 and \[Alpha]_2?