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.
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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.
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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.
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The birth of E8 out of the spinors of the icosahedron. [PDF]
Proc Math Phys Eng Sci, 2016 Dechant PP.
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Clifford geometric algebra: Real and complex spinor data tables
The modern algebra concepts are used to construct tables of algebraic spinors related to Clifford algebra multivectors with real and complex coefficients. The following data computed by Mathematica are presented in form of tables for individual Clifford geometric algebras: 1. Initial idempotent; 2. Two-sided ideal; 3.
Acus, A., Dargys, A.
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Does Geometric Algebra Provide a Loophole to Bell's Theorem? [PDF]
Entropy (Basel), 2019 Gill RD.
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Quantum correlations are weaved by the spinors of the Euclidean primitives. [PDF]
R Soc Open Sci, 2018 Christian J.
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Computer algebra in gravity research. [PDF]
Living Rev Relativ, 2018 MacCallum MAH.
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Generalised killing spinors on three-dimensional Lie groups. [PDF]
Manuscr MathArtacho D.
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