symbolisieren
to symbolize
To stand as a symbol for something; to visually represent or stand for an abstract idea, a quality, or a concept.
Die weiße Taube symbolisiert den Frieden.
The white dove symbolizes peace.

to symbolize
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to symbolize
To stand as a symbol for something; to visually represent or stand for an abstract idea, a quality, or a concept.
Die weiße Taube symbolisiert den Frieden.
The white dove symbolizes peace.

The verb ends in '-isieren', which is typical for verbs derived from a noun. It comes from the noun 'das Symbol' (the symbol).
Das Kreuz ist ein Zeichen, das für viele Menschen das Christentum symbolisiert.
The cross is a sign that symbolizes Christianity for many people.
The verb connects a concrete sign (subject) with an abstract idea (accusative object). The sentence structure is: Something concrete symbolizes something abstract.
Der Ring an ihrem Finger symbolisiert ihre ewige Liebe.
The ring on her finger symbolizes her eternal love.
The object of 'symbolisieren' (to symbolize) is almost always an abstract concept. Common examples are: 'den Frieden' (peace), 'die Liebe' (love), 'die Macht' (power), 'die Hoffnung' (hope), or 'die Freiheit' (freedom).
Die rote Rose symbolisiert in unserer Kultur die romantische Liebe.
In our culture, the red rose symbolizes romantic love.
to stand
'für etwas stehen' and 'symbolisieren' can mean the same thing in many situations: something is a sign of an idea, a value, or a quality. 'für etwas stehen' sounds a little more everyday and can also be used for people, groups, or things. 'symbolisieren' sounds more precise and is often used when a real symbol is meant, for example a color, a sign, or an image. Both fit well when you want to explain what broader meaning something has.

In der Prüfung symbolisiert die Kerze Hoffnung.
In the exam, the candle symbolizes hope.
Das rote Herz steht für Liebe und Nähe.
The red heart stands for love and closeness.