Results 41 to 50 of about 116 (103)

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

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

Spin Representations, Clifford Algebras and Spinors

, 2023
We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups.
openaire   +1 more source

Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks. [PDF]

J High Energy Phys, 2020
Thierry-Mieg J.
europepmc   +1 more source

S U ( 3 ) C × S U ( 2 ) L × U ( 1 ) Y × U ( 1 ) X as a symmetry of division algebraic ladder operators. [PDF]

Eur Phys J C Part Fields, 2018
Furey C.
europepmc   +1 more source

The birth of E₈ out of the spinors of the icosahedron. [PDF]

Proc Math Phys Eng Sci, 2016
Dechant PP.
europepmc   +1 more source

Does Geometric Algebra Provide a Loophole to Bell's Theorem? [PDF]

Entropy (Basel), 2019
Gill RD.
europepmc   +1 more source

Quantum correlations are weaved by the spinors of the Euclidean primitives. [PDF]

R Soc Open Sci, 2018
Christian J.
europepmc   +1 more source

Computer algebra in gravity research. [PDF]

Living Rev Relativ, 2018
MacCallum MAH.
europepmc   +1 more source