Abstract
The theory of Greenberg–Mohapatra algebras is developed in continuation to a previous paper. Standard cyclic modules are constructed for the algebras, and on them Kac–Moody and Virasoro algebras are represented through a basic procedure. The representations of Kac–Moody and Virasoro algebras help to understand the structure of Greenberg–Mohapatra algebras and the question of possible violation of the Pauli exclusion principle.
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