{"product_id":"an-introduction-to-dirac-operators-on-manifolds-von-jan-cnops","title":"An Introduction to Dirac Operators on Manifolds","description":"Dirac operators play an important role in several domains of \nmathematics and physics, for example: index theory, elliptic \npseudodifferential operators, electromagnetism, particle physics, and \nthe representation theory of Lie groups. \n   In this essentially self-contained work, the basic ideas underlying \nthe concept of Dirac operators are explored. Starting with Clifford \nalgebras and the fundamentals of differential geometry, the text \nfocuses on two main properties, namely, conformal invariance, which \ndetermines the local behavior of the operator, and the unique \ncontinuation property dominating its global behavior. Spin groups and \nspinor bundles are covered, as well as the relations with their \nclassical counterparts, orthogonal groups and Clifford bundles. \n   The chapters on Clifford algebras and the fundamentals of \ndifferential geometry can be used as an introduction to the above \ntopics, and are suitable for senior undergraduate and graduate \nstudents. The other chapters are also accessible at this level so that \nthis text requires very little previous knowledge of the domains \ncovered. The reader will benefit, however, from some knowledge of \ncomplex analysis, which gives the simplest example of a Dirac \noperator. More advanced readers---mathematical physicists, physicists \nand mathematicians from diverse areas---will appreciate the fresh \napproach to the theory as well as the new results on boundary value \ntheory.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461265962\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781461265962","offer_id":39417158041693,"sku":"9781461265962","price":85.55,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/999cace1-6c94-4987-83fa-004bdd4ea18b.jpg?v=1772168731","url":"https:\/\/shop.autorenwelt.de\/products\/an-introduction-to-dirac-operators-on-manifolds-von-jan-cnops","provider":"Autorenwelt Shop","version":"1.0","type":"link"}