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Quantum Clifford algebras from spinor representations
Journal of Mathematical Physics, 1996A general theory of quantum Clifford algebras is presented, based on a quantum generalization of the Cartan theory of spinors. We concentrate on the case when it is possible to apply the quantum-group formalism of bicovariant bimodules. The general theory is then singularized to the quantum SL(n,C) group case, to generate explicit forms for the whole ...
Bautista, R. +4 more
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Spinor Representation of Electromagnetic Fields on Noncommutative Spaces
International Journal of Theoretical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Liangzhong, Sant'Anna, Adonai S.
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Representation of surfaces using spinor operators
Journal of Mathematical Physics, 2019We use the concept of spinor operator to study some aspects of the classical theory of surfaces in three dimensions. We show that a spinor operator representing a surface satisfies a pair of Dirac-like equations and that this spinor operator representation is a generalization of the Weierstrass representation of minimal surfaces.
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Spinor representations of the orthogonal groups
Journal of Mathematical Physics, 1973It is shown how to construct all spinor representations of O(n). For the low order groups, this is done in such a way as to obtain the representation space of the covering group. More generally all representations of O(n) are constructed in spaces of harmonic homogeneous polynomials.
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Tree-level amplitudes from the pure spinor superstring
Physics Reports, 2023Oliver Schlotterer
exaly
Spinor Bose gases: Symmetries, magnetism, and quantum dynamics
Reviews of Modern Physics, 2013Dan Stamper-Kurn, Masahito Ueda
exaly

