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arXiv · 1503.06168

Centralizers of spin subalgebras

Gerardo Arizmendi·Rafael Herrera
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Abstract

We determine the centralizers of certain isomorphic copies of spin subalgebras $\mathfrak{spin}(r)$ in $\mathfrak{so}(d_rm)$, where $d_r$ is the dimension of a real irreducible representation of $Cl_r^0$, the even Clifford algebra determined by the positive definite inner product on $\mathbb{R}^r$, where $r, m\in\mathbb{N}$.

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Gerardo Arizmendi, Rafael Herrera. 2015-03-20. Centralizers of spin subalgebras. https://doi.org/10.1016/j.geomphys.2015.07.002

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