Orthogonal and symplectic clifford algebras (spinor structures)

S. E. Payne

doi:10.1007/bf00048807

Orthogonal and symplectic clifford algebras (spinor structures)

Acta Applicandae Mathematicae ◽

10.1007/bf00048807 ◽

1991 ◽

Vol 23 (2) ◽

pp. 193-195

Author(s):

S. E. Payne

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

Lipschitz’s Methods of 1886 Applied to Symplectic Clifford Algebras

Clifford Algebras ◽

10.1007/978-1-4612-2044-2_20 ◽

2004 ◽

pp. 323-333

Author(s):

Jacques Helmstetter

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

Clifford Algebras and Their Applications in Mathematical Physics ◽

10.1007/978-94-009-4728-3_44 ◽

1986 ◽

pp. 517-529 ◽

Cited By ~ 5

Author(s):

A. Crumeyrolle

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

A Theory of Quantized Fields Based on Orthogonal and Symplectic Clifford Algebras

Advances in Applied Clifford Algebras ◽

10.1007/s00006-011-0314-4 ◽

2011 ◽

Vol 22 (2) ◽

pp. 449-481 ◽

Cited By ~ 8

Author(s):

Matej Pavšič

Keyword(s):

Clifford Algebras ◽

Theory Of Quantized Fields ◽

Quantized Fields ◽

Symplectic Clifford Algebras

Parallel treatment of Riemannian and Symplectic Clifford algebras

Clifford Algebras and their Applications in Mathematical Physics ◽

10.1007/978-94-015-8090-8_9 ◽

1992 ◽

pp. 83-95 ◽

Cited By ~ 1

Author(s):

Z. Oziewicz ◽

Cz. Sitarczyk

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

Orthogonal and Symplectic Clifford Algebras

10.1007/978-94-015-7877-6 ◽

1990 ◽

Cited By ~ 117

Author(s):

Albert Crumeyrolle

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

Symplectic Clifford Algebras and Associated Groups

Orthogonal and Symplectic Clifford Algebras ◽

10.1007/978-94-015-7877-6_17 ◽

1990 ◽

pp. 233-255 ◽

Cited By ~ 1

Author(s):

Albert Crumeyrolle

Keyword(s):

Clifford Algebras ◽

Symplectic Clifford Algebras

Series expansions for monogenic functions in Clifford algebras and their application

Ukrainian Mathematical Bulletin ◽

10.37069/1810-3200-2020-17-3-4 ◽

2020 ◽

Vol 17 (3) ◽

pp. 365-371

Author(s):

Anatoliy Pogorui ◽

Tamila Kolomiiets

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Vector Space ◽

Clifford Algebra ◽

Clifford Algebras ◽

Monogenic Function ◽

Second Order ◽

Series Expansions ◽

Monogenic Functions ◽

Partial Differential

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.

Isomorphisms of graded skew Clifford algebras

Involve a Journal of Mathematics ◽

10.2140/involve.2020.13.871 ◽

2020 ◽

Vol 13 (5) ◽

pp. 871-878

Author(s):

Richard G. Chandler ◽

Nicholas Engel

Keyword(s):

Clifford Algebras

On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00509-0 ◽

2021 ◽

Vol 11 (2) ◽

Author(s):

Carlos Daniel Tamayo-Castro ◽

Ricardo Abreu-Blaya ◽

Juan Bory-Reyes

Keyword(s):

Clifford Algebras ◽

Monogenic Functions ◽

Riemann Problems ◽

Lower Dimensional

On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras

Advances in Applied Clifford Algebras ◽

10.1007/s00006-021-01135-6 ◽

2021 ◽

Vol 31 (3) ◽

Author(s):

Dmitry Shirokov

Keyword(s):

Clifford Algebras ◽

Inner Automorphisms