We suggest a purely algebraic construction of the spin representation of an infinite-dimensional orthogonal Lie algebra (sections 1 and 2) and a corresponding group (section 4). From this we deduce a ...
Lie groups provide a natural framework for describing continuous symmetries in both mathematics and physics. These groups, which are simultaneously smooth manifolds, allow for the integration of ...
Lie groups epitomise the fusion of algebraic structure with the smooth manifold framework, serving as a cornerstone in both mathematics and theoretical physics. These continuous symmetry groups ...
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