Abstract
A very close connection between the BRST symmetry and the Lie superalgebra l(1, 1) is pointed out and studied. Structure of l(1, 1), its involutions and automorphisms are described. Absence of infinite-dimensional irreducible representations (IR) of l(1, 1) is proved. The rigorous construction and decomposition into IR is performed for the class of l(1, 1) representations corresponding to physical BRST theories and consisting of infinite-dimensional doubly involutive representations in J-spaces. As a first output of the l(1, 1) formalism, a new formula for the BRST charge is derived.
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