On Casimir's Ghost
classification
q-alg
math.QA
keywords
casimiroperatoractionadjointallowsanticommutesappearsbosonic
read the original abstract
We define on the universal enveloping superalgebra of osp(1|2n) a nonstandard adjoint action, endowing it with a module structure. This allows, in particular, to construct a bosonic operator which anticommutes with all the fermionic generators and which appears to be the square root of a certain Casimir operator.
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