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Quantum Clifford algebras from spinor representations

Journal of Mathematical Physics, 1996
A 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
openaire   +1 more source

Spinor Representation of Electromagnetic Fields on Noncommutative Spaces

International Journal of Theoretical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Liangzhong, Sant'Anna, Adonai S.
openaire   +1 more source

Representation of surfaces using spinor operators

Journal of Mathematical Physics, 2019
We 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.
openaire   +2 more sources

Spinor representations of the orthogonal groups

Journal of Mathematical Physics, 1973
It 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.
openaire   +1 more source

Tree-level amplitudes from the pure spinor superstring

Physics Reports, 2023
Oliver Schlotterer
exaly  

Spinor Representations

1986
D. H. Sattinger, O. L. Weaver
openaire   +1 more source

Spinor-Oscillator Representation

2004
Yolanda Lozano   +39 more
openaire   +1 more source

Spinor Bose–Einstein condensates

Physics Reports, 2012
Yuki Kawaguchi, Masahito Ueda
exaly  

Spinor Bose gases: Symmetries, magnetism, and quantum dynamics

Reviews of Modern Physics, 2013
Dan Stamper-Kurn, Masahito Ueda
exaly  

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