Lecture 16: Measure (Gage) Spaces. Clifford Algebra, C.A.R. Relations. Fermi Field

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

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Two-State Quantum Systems Revisited: A Clifford Algebra Approach

Advances in Applied Clifford Algebras ◽

10.1007/s00006-020-01116-1 ◽

2021 ◽

Vol 31 (2) ◽

Author(s):

Pedro Amao ◽

Hernan Castillo

Keyword(s):

Clifford Algebra ◽

Quantum Systems ◽

Algebra Approach

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A Generalised Quaternion and Clifford Algebra Based Mathematical Methodology to Effect Multi-stage Reassembling Transformations in Parallel Robots

Advances in Applied Clifford Algebras ◽

10.1007/s00006-021-01119-6 ◽

2021 ◽

Vol 31 (3) ◽

Author(s):

Sudharsan Thiruvengadam ◽

Jei Shian Tan ◽

Karol Miller

Keyword(s):

Clifford Algebra ◽

Parallel Robots ◽

Multi Stage

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Clifford Algebra and Gabor filter for color image texture characterization

2013 International Conference on Signal-Image Technology & Internet-Based Systems ◽

10.1109/sitis.2013.45 ◽

2013 ◽

Cited By ~ 1

Author(s):

A.T. Sanda ◽

E.C. Ezin ◽

P. Gouton ◽

J. Tossa

Keyword(s):

Clifford Algebra ◽

Color Image ◽

Gabor Filter ◽

Image Texture ◽

Texture Characterization

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REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

Glasgow Mathematical Journal ◽

10.1017/s0017089514000500 ◽

2014 ◽

Vol 57 (3) ◽

pp. 579-590 ◽

Cited By ~ 1

Author(s):

STACY MARIE MUSGRAVE

Keyword(s):

Quadratic Form ◽

Clifford Algebra ◽

Algebraic Structure ◽

Quadratic Forms ◽

Clifford Algebras ◽

Future Research ◽

Octonion Algebras

AbstractThis work defines a new algebraic structure, to be called an alternative Clifford algebra associated to a given quadratic form. I explored its representations, particularly concentrating on connections to the well-understood octonion algebras. I finished by suggesting directions for future research.

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