>>13319975>In Hinduism, the two symbols represent the two forms of the creator god Brahma: facing right it represents the evolution of the universe (Pravritti), facing left it represents the involution of the universe (Nivritti). It is also seen as pointing in all four directions (north, east, south and west) and thus signifies stability and groundedness.>The symbol as it is used in Buddhist art and scripture is known in Japanese as a manji (literally, "the character for eternality" 萬字), and represents Dharma, universal harmony, and the balance of opposites.>Jainism gives even more prominence to the swastika than does Hinduism. It is a symbol of the seventh Jina (Saint), the Tirthankara Suparsva. In the Svetambar Jain tradition, it is also one of the symbols of the ashta-mangalas. It is considered to be one of the 24 auspicious marks and the emblem of the seventh arhat of the present age.
As far as I recall, the swastika means stability, normality, peace, etcetera.