Geometric Algebra for Physicists. Anthony Lasenby, Chris Doran

Geometric Algebra for Physicists


Geometric.Algebra.for.Physicists.pdf
ISBN: 0521480221,9780521480222 | 589 pages | 15 Mb


Download Geometric Algebra for Physicists



Geometric Algebra for Physicists Anthony Lasenby, Chris Doran
Publisher: Cambridge University Press




Some years ago, Lasenby, Doran and Gull of the Cambridge geometry group, rewrote general relativity using Clifford algebra instead of tensors. Before that I should say a bit more about Clifford algebras. Quantization in physics (Snyder studied an interesting noncommutative space in the late 1940s). Mathematics for at least two centuries. The outcome,in physics for example, would be that while the geometrical description using Relativity works for some of this, and tells you that some physical quantities have just gone crazy, the larger framework tells you that if you keep track of the right physical variables, the physics is quite readily accessible all the way . Those with a graduate education in physics are already familiar with the Geometric Algebra (GA) in that it is equivalent to the Gamma matrices used throughout quantum field theory. More generally, noncommutative geometry means There are many sources of noncommutative spaces, e.g. In the last three decades the development of a number of novel ideas in algebraic geometry, category . This can be generalized to establish directional uncertainty principles in Clifford geometric algebras with quaternion subalgebras. The idea of noncommutative geometry is to encode everything about the geometry of a space algebraically and then allow all commutative function algebras to be generalized to possibly non-commutative algebras. Differential Geometry for Physicists Description : This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. These are an important tool in many branches of mathematics - algebraic topology, K-theory, representation theory and in theoretical physics. Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics.

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