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[null,"1.","Record Nr.",null,"UNINA9910717418803321"]
[null,null,"Autore",null,"Avramidi Ivan G. <1957->"]
[null,null,"Titolo",null,"Heat Kernel on Lie Groups and Maximally Symmetric Spaces / / by Ivan G. Avramidi"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023"]
[null,null,"ISBN",null,"9783031274510"]
[{"$nulls":4},"9783031274503"]
[null,null,"Edizione",null,"[1st ed. 2023.]"]
[null,null,"Descrizione fisica",null,"1 online resource (197 pages)"]
[null,null,"Collana",null,"Frontiers in Mathematics, , 1660-8054"]
[null,null,"Disciplina",null,"515.353"]
[{"$nulls":4},"515.9"]
[null,null,"Soggetti",null,"Global analysis (Mathematics)"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Differential equations"]
[{"$nulls":4},"Mathematical physics"]
[{"$nulls":4},"Group theory"]
[{"$nulls":4},"Global Analysis and Analysis on Manifolds"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Mathematical Physics"]
[{"$nulls":4},"Group Theory and Generalizations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Part I. Manifolds -- Chapter. 1. Introduction -- Chapter. 2. Geometry of Simple Groups -- Chapter. 3. Geometry of SU(2) -- Chapter. 4. Maximally Symmetric Spaces -- Chapter. 5. Three-dimensional Maximally Symmetric Spaces -- Part II: Heat Kernel -- Chapter. 6. Scalar Heat Kernel -- Chapter. 7. Spinor Heat Kernel -- Chapter. 8. Heat Kernel in Two Dimensions -- Chapter. 9. Heat Kernel on S3 and H3 -- Chapter. 10. Algebraic Method for the Heat Kernel -- Appendix A -- References -- Index."]
[null,null,null,"Sommario/riassunto","This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel "]
[{"$nulls":4},"for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics – such as global analysis, spectral geometry, stochastic processes, and financial mathematics – as well in areas of mathematical and theoretical physics – including quantum field theory, quantum gravity, string theory, and statistical physics."]