Okay, so let's start with some background information. Hoysala is the name of a dynasty that ruled a place called Karnataka in India around 1,000 years ago. Brahmins are a group of people who are considered to be high caste or important in Indian society.
Now, Hoysala Karnataka Brahmins are people who were Brahmins who lived in the area that was ruled by the Hoysala dynasty. They had special jobs like being priests and scholars, and they were respected by other people in the area.
These Brahmins had a lot of rules they had to follow, like not eating certain kinds of food, and they had to go to school to learn important things like religion and language. They also had to do special ceremonies like praying to the gods and goddesses.
Even though the Hoysala dynasty is gone now, Hoysala Karnataka Brahmins still exist today and still follow many of the same rules their ancestors did.