Sorry for answering my own question.

It seems that 

sage: P = Poset([[1,2,3,4], [[1,2], [2,3], [1,4]]])
sage: e = {i: LatexExpr("q^%s" % i) for i in P}
sage: c = {(i,j): LatexExpr("%s^%s" % (i, j)) for i, j in 
P.cover_relations()}

sage: H = P.hasse_diagram()
sage: [H.set_edge_label(v1, v2, c[(v1, v2)]) for v1, v2 in 
P.cover_relations()]
sage: H.relabel({v: e[v] for v in P})
sage: H.set_latex_options(format="dot2tex", edge_labels=True)
sage: view(H)

works.
Martin R schrieb am Dienstag, 2. November 2021 um 19:37:34 UTC+1:

> is it possible to display a poset with (LaTeX) labels on the covering 
> relations and (LaTeX) labels on the vertices?
>
> For example:
>
> sage: P = Poset([[1,2,3,4], [[1,2], [2,3], [1,4]]])
> sage: e = {i: "$q^%s$" % i for i in P}
> sage: c = {(i,j): "$%s^%s$" % (i, j) for i, j in P.cover_relations()}
> sage: P.plot(element_labels=e, cover_labels=c)
>
> This almost works.  Unfortunately, the layout is not the dot2tex layout, 
> which I need because my posets are large, and it displays 'None' instead of 
> the edge label.
>
> Martin
>

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