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Clifford Geometric Algebras With Applications In Physics Mathematics And Engineering

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Clifford Geometric Algebras With Applications In Physics Mathematics And Engineering

Clifford algebra
Clifford algebras may be generalized to a form of degree higher than quadratic over a vector space. Conferences and journals. There is a vibrant and interdisciplinary community around Clifford and Geometric Algebras with a wide range of applications.
Geometric algebra
In mathematics, the geometric algebra (GA) of a vector space is an algebra over a field, noted for its multiplication operation called the geometric product on a space of elements called multivectors, which contains both the scalars and the vector space .. Mathematically, a geometric algebra may be defined as the Clifford algebra of a vector space with a quadratic form.
Alan Macdonald: Geometric Algebra and Foundations of Physics
Presented at The Fifth International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa, Mexico, June 27 July 4, 1999. Abstract: We give a simple, elementary, direct, and motivated construction of the geometric algebra over R n .
The Heat Kernel Lefschetz Fixed Point Formula for the Spin ...
When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so called spin c Dirac operator.
四元数
より近くでは、 イアン・ポーティアス (英語版) の本「クリフォード代数と古典群」(Clifford Algebras and the Classical Groups Cambridge, 1995, proposition 8.13, p.60) にこの球面についての記述があり、また Conway & Smith (2003) のp.40には「任意の虚数単位を i, それに直交する ...
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