An alternative or variant form meaning relating to Thomas Carlyle; Carlylean or Carlylesque.
From 'Carlyle' plus '-ian' (English suffix). This appears to be a less common variant of the other Carlyle-related adjectives that developed through literary usage.
The existence of four different spelling variants (Carlylean, Carlyleian, Carlylesque, Carlylian) shows how Victorian scholars weren't standardized in their terminology—it was quite a hodgepodge!
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