| 书目名称 | Clifford Algebras | | 副标题 | Applications to Math | | 编辑 | Rafał Abłamowicz | | 视频video | http://file.papertrans.cn/228/227343/227343.mp4 | | 概述 | Current volume consists of invited papers, all written by experts in the field.Covers a wide range of applications of Clifford algebras to pure mathematics, physics, and engineering.Ablamowicz has a g | | 丛书名称 | Progress in Mathematical Physics | | 图书封面 |  | | 描述 | .The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to geometry, analysis, physics, and engineering. Divided into five parts, the book‘s first section is devoted to Clifford analysis; here, topics encompass the Morera problem, inverse scattering associated with the Schrödinger equation, discrete Stokes equations in the plane, a symmetric functional calculus, Poincaré series, differential operators in Lipschitz domains, Paley-Wiener theorems and Shannon sampling, Bergman projections, and quaternionic calculus for a class of boundary value problems.. .A careful discussion of geometric applications of Clifford algebras follows, with papers on hyper-Hermitian manifolds, spin structures and Clifford bundles, differential forms on conformal manifolds, connection and torsion, Casimir elements and Bochner identities on Riemannian manifolds, Rarita-Schwinger operators, and the interface between noncommutative geometry and physics. In addition, attention is paid to the algebraic and Lie-theoretic applications of Clifford algebras---particularly their intersection with Hopf algebras, Lie algebras and representations, graded algebras, a | | 出版日期 | Book 2004 | | 关键词 | Algebra; Dirac operator; Eigenvalue; Lattice; Schrödinger equation; Spinor; calculus; differential equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-2044-2 | | isbn_softcover | 978-1-4612-7393-6 | | isbn_ebook | 978-1-4612-2044-2Series ISSN 1544-9998 Series E-ISSN 2197-1846 | | issn_series | 1544-9998 | | copyright | Birkhäuser Boston 2004 |
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