Question

how did the Kalyan chalukyas encourage literature

Answer 1

A large body of Western Chalukya literature in Kannada language was produced during the reign of the Western Chalukya Empire (973–1200 CE) in what is now southern India. This dynasty, which ruled most of the western Deccan in South India is sometimes called the Kalyani Chalukya Dynasty after its royal capital at Kalyani (now Basavakalyan) and sometimes called the Later Chalukya Dynasty for its theoretical relationship to the 6th-century Chalukya dynasty of Badami.
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Answer 2

A considerable body of Western Chalukyaliterature in the Kannada language was created during the rule of the Western Chalukya Empire (973–1200 CE) in what is now southern India the line therefore was administered a large portion towards South India Dynasty after its regal capital at Kalyani now called the Basavakalyan and some of the time called the Later Chalukya Dynasty for its hypothetical relationship to the dynasty of the Chalukya