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In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which comes from string theory, is explored in the book. This open access book provides a detailed description of the geometric approach to the representation theory of the double affine Hecke algebra (DAHA) of rank one. Spherical DAHA is known to arise from the deformation quantization of the moduli space of S...
This eight-volume set brings together seminal papers in Buddhist studies from a vast range of academic disciplines published over the last forty years. With a new introduction by the editor, this collection is a unique and unrivalled research resource for both student and scholar. Coverage includes: - Buddhist origins; early history of Buddhism in South and Southeast Asia - early Buddhist Schools and Doctrinal History; Theravada Doctrine - the Origins and nature of Mahayana Buddhism; some Mahayana religious topics - Abhidharma and Madhyamaka - Yogacara, the Epistemological tradition, and Tathagatagarbha - Tantric Buddhism (Including China and Japan); Buddhism in Nepal and Tibet - Buddhism in South and Southeast Asia, and - Buddhism in China, East Asia, and Japan.
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The Tibetan Buddhist practice of Nyungne (“nyoong-nay”) has been gaining increased attention in Buddhist centers across North America. Participants say the practice purifies them both physically and spiritually. This volume is the only comprehensive treatment in English of these powerful teachings. Nyungne is a profound, two-and-a-half-day practice, a length of time especially helpful for people whose schedules cannot accommodate long-term retreat. It involves the keeping of strict vows; the second day is devoted to complete silence and fasting. The meditation centers on the recitations, mantras, and guided visualizations of the Thousand-Armed Chenrezig, the embodiment of all the buddhas’ loving-kindness and compassion. Translated as “abiding in the fast,” Nyungne is said to be effective in the healing of illness, the nurturing of compassion, and the purification of negative karma.