Kashmir was never part of India so Indians have no share here. Keep Kashmir out of it.
Srinagar itself is a sanskrit word meaning "beautiful city" signfying its eternal indian connection.
history of kashmir.
Kashmir was one of the major centre of Sanskrit scholars. According to the Mahabharata, the Kambojas ruled Kashmir during the epic period with a Republican system of government from the capital city of Karna-Rajapuram-gatva-Kambojah-nirjitastava., shortened to Rajapura, which has been identified with modern Rajauri. Later, the Panchalas are stated to have established their sway. The name Peer Panjal, which is a part of modern Kashmir, is a witness to this fact. Panjal is simply a distorted form of the Sanskritic tribal term Panchala. The Muslims prefixed the word peer to it in memory of Siddha Faqir and the name thereafter is said to have changed into Peer Panjal. The Mauryan emperor Ashoka is often credited with having founded the city of Srinagar.
Kashmir was once a Buddhist seat of learning, perhaps with the Sarvāstivādan school dominating. East and Central Asian Buddhist monks are recorded as having visited the kingdom. In the late 4th century AD, the famous Kuchanese monk Kumārajīva, born to an Indian noble family, studied Dīrghāgama and Madhyāgama in Kashmir under Bandhudatta. He later becoming a prolific translator who helped take Buddhism to China. His mother Jīva is thought to have retired to Kashmir. Vimalākṣa, a Sarvāstivādan Buddhist monk, travelled from Kashmir to Kucha and there instructed Kumārajīva in the Vinayapiṭaka.
http://en.wikipedia.org/wiki/History_of_Kashmir#Early_history
Buddhism and Hinduism in Kashmir
The Mauryan emperor Ashoka is often credited with having founded the city of Srinagar. Kashmir was once a Buddhist seat of learning, perhaps with the Sarvāstivādan school dominating. East and Central Asian Buddhist monks are recorded as having visited the kingdom. In the late 4th century AD, the famous Kuchanese monk Kumārajīva, born to an Indian noble family, studied Dīrghāgama and Madhyāgama in Kashmir under Bandhudatta. He later became a prolific translator who helped take Buddhism to China. His mother Jīva is thought to have retired to Kashmir. Vimalākṣa, a Sarvāstivādan Buddhist monk, travelled from Kashmir to Kucha and there instructed Kumārajīva in the Vinayapiṭaka.
Adi Shankara visited the pre-existing Sarvajñapīṭha (Sharada Peeth) in Kashmir in late 8th century CE or early 9th Century CE. The Madhaviya Shankaravijayam states this temple had four doors for scholars from the four cardinal directions. The southern door (representing South India) had never been opened, indicating that no scholar from South India had entered the Sarvajna Pitha. Adi Shankara opened the southern door by defeating in debate all the scholars there in all the various scholastic disciplines such as Mimamsa, Vedanta and other branches of Hindu philosophy; he ascended the throne of Transcendent wisdom of that temple.
Abhinavagupta (approx. 950 - 1020 AD) was one of India's greatest philosophers, mystics and aestheticians. He was also considered an important musician, poet, dramatist, exeget, theologian, and logician - a polymathic personality who exercised strong influences on Indian culture.
He was born in the Valley of Kashmir in a family of scholars and mystics and studied all the schools of philosophy and art of his time under the guidance of as many as fifteen (or more) teachers and gurus. In his long life he completed over 35 works, the largest and most famous of which is Tantrāloka, an encyclopedic treatise on all the philosophical and practical aspects of Trika and Kaula (known today as Kashmir Shaivism). Another one of his very important contributions was in the field of philosophy of aesthetics with his famous Abhinavabhā***ī commentary of Nāṭyaśāstra of Bharata Muni
http://en.wikipedia.org/wiki/Kashmir#Buddhism_and_Hinduism_in_Kashmir