There is insufficient information to confirm that 'La India' is a real performer who appears at live events, particularly at the Lehman Center for the Performing Arts. The name 'La India' is ambiguous and could refer to multiple individuals or groups, including a well-known Mexican singer named La India (born María de Lourdes Herrera), but there is no clear evidence that she or another entity by that name has performed at the Lehman Center.