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arXiv · 2512.19257

A classification of four-tuples of spinors of a ten dimensional space

Willem de Graaf·Alexander Elashvili·Mamuka Jibladze
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Abstract

We use the theory of theta-groups developed by Vinberg, along with computations in the computer algebra system GAP4, to classify the orbits of Spin(10,C)x SL(4,C) acting on the tensor product of the half spin module of Spin(10,C) and the natural module of SL(4,C).

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Willem de Graaf, Alexander Elashvili, Mamuka Jibladze. 2025-12-22. A classification of four-tuples of spinors of a ten dimensional space. https://arxiv.org/abs/2512.19257

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