Centralizers of spin subalgebras

Abstract

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

We have corrected some typos and simplified the presentation

References in corpus (1)

• Almost even-Clifford hermitian manifolds with large automorphism group

Cited by in corpus (5)

• Almost even-Clifford hermitian manifolds with large automorphism group
• A note on the geometry and topology of almost even-Clifford Hermitian manifolds
• Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
• Local Geometry of Even Clifford Structures on Conformal Manifolds
• Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles