Results 61 to 70 of about 249 (143)
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
europepmc +1 more source
Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras [PDF]
Communications in Mathematical Physics, 1990 Q-analogues of Clifford and Weyl algebras are induced. Using these, the spinor and oscillator representations of quantum enveloping algebras of \(A_{N-1}\), \(B_ N\), \(C_ N\), \(D_ N\) and \(A^{(1)}_{N-1}\) are constructed and the irreducibility and the unitarity of these representations are discussed.
openaire +2 more sources
Differential Geometry Revisited by Biquaternion Clifford Algebra
, 2015 International audienceIn the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras.
Girard, Patrick +11 more
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SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions. [PDF]
J High Energy Phys, 2021 Thierry-Mieg J, Jarvis P.
europepmc +1 more source
The super-Poincaré algebra via pure spinors and the interaction principle in 3D Euclidean space [PDF]
, 2015 The Poincaré superalgebra is introduced from a generalization of the Cartan's triality principle based on the extension of Chevalley product, between semispinor spaces and even subspaces of the extended exterior algebra over Euclidean space $\mathbb{R ...
Rocha, R. da
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Spinors in Four-Dimensional Spaces
, 2010 Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature.
Torres del Castillo, Gerardo F +1 more
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Signature Change And Clifford Algebras
, 2015 Given the real Clifford algebra of a quadratic space with a given signature, we define a new product in this structure such that it simulates the Clifford product of a quadratic space with another signature different from the original one.
Miralles D., Parra J.M., Vaz Jr. J.
core
Spinors, embeddings and gravity
, 1988 This thesis is concerned with the theory of spinors, embeddings and everywhere invariance with applications to general relativity. The approach is entirely geometric with particular emphasis on the use of natural structures.
Swift, S.T, Swift, Simon
core
, 2017 In this paper, we consider a general twisted-curved space-time hosting Dirac spinors and we take into account the Lorentz covariant polar decomposition of the Dirac spinor field: the corresponding decomposition of the Dirac spinor field equation leads to
Luca Fabbri, Fabbri, Luca
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From the Geometry of Pure Spinors with their Division Algebras to Fermion's Physics
, 2001 The Cartan's equations definig simple spinors (renamed pure by C. Chevalley) are interpreted as equations of motion in momentum spaces, in a constructive approach in which at each step the dimesions of spinor space are doubled while those momentum space ...
Budinich, Paolo
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