lügen
to lie
To deliberately make a statement that one knows is not true.
Er hat über sein Alter gelogen, um den Job zu bekommen.
He lied about his age to get the job.

to lie
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to lie
To deliberately make a statement that one knows is not true.
Er hat über sein Alter gelogen, um den Job zu bekommen.
He lied about his age to get the job.

The verb 'lügen' (to lie) is irregular and forms the past with the auxiliary verb 'haben' (to have). The past participle form is 'gelogen' (lied).
Sie hat noch nie in ihrem Leben gelogen.
She has never lied in her life.
To say what someone is lying about, you often use the preposition 'über' (about) with the accusative or a subordinate clause with 'dass' (that).
Er lügt über seine berufliche Erfahrung.
He is lying about his professional experience.
The idiom 'sich in die Tasche lügen' (to kid oneself) is reflexive. The reflexive pronoun 'sich' must be adapted to the subject, e.g. 'ich lüge mich' (I kid myself), 'du lügst dich' (you kid yourself).
Ich glaube, du lügst dich da selbst in die Tasche.
I think you're just kidding yourself there.
In the idiom 'das Blaue vom Himmel lügen' (to tell tall tales), the part 'das Blaue vom Himmel' is a fixed component and functions as the accusative object.
Um das Produkt zu verkaufen, hat er den Kunden das Blaue vom Himmel gelogen.
To sell the product, he told the customers tall tales.
to tell
'erzählen' and 'lügen' can both refer to statements that someone makes. Normally, 'erzählen' is neutral: you pass on a story or a piece of information. 'lügen' is not neutral; it means that someone deliberately says something false. There is a risk of confusion especially in colloquial uses like 'erzähl doch nichts' (don't talk nonsense) or 'was erzählst du da?' (what are you talking about?). In those cases, 'erzählen' can mean that you do not believe a statement. Still, 'lügen' is much more direct and stronger because it names a deliberate untruth.

Bei der Bewerbung darf man nicht lügen.
You must not lie in a job application.
Erzähl mir bitte ehrlich, was nach dem Gespräch passiert ist.
Please tell me honestly what happened after the conversation.