caa a22 4500 469035242 CHVBK 20180323132754.0 cr unu---uuuuu 170328e19920401xx s 000 0 eng 10.1007/BF01019825 doi (NATIONALLICENCE)springer-10.1007/BF01019825 True BRST symmetry algebra and the theory of its representations [Elektronische Daten] [A. Voronin, S. Khoruzhii] A simple treatment of BRST symmetry is proposed. From the physical point of view, it expresses a symmetry between ghosts and spurions; from the mathematical point of view, the symmetry operations are linear transformations in the superspaceC 1,1. From this it follows that the true BRST symmetry algebra isl(1, 1), the Lie superalgebra of all linear endomorphisms ofC 1,1, which extends the usual BRST algebra of the generatorsQ andQ c with two new generatorsK=Q * andR={Q,Q *}. The theory of the representations ofl(1, 1) is developed systematically. The sets of automorphisms and involutions ofl(1, 1) are described. Decompositions into irreducible and indecomposable components are constructed for large classes of representations, both finite-and infinite-dimensional. Particular attention is devoted to the analysis of the indecomposable representations (in particular, a connection between them and subspaces of the continuous spectrum of the generators is found) and also of the metric properties of the indefinite spaces of the representations. A class of physical representations is identified and described in detail. Plenum Publishing Corporation, 1992 Voronin A. aut Khoruzhii S. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/1(1992-04-01), 327-335 0040-5779 91:1<327 1992 91 11232 https://doi.org/10.1007/BF01019825 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01019825 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Voronin A. aut NATIONALLICENCE 700 1- Khoruzhii S. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 91/1(1992-04-01), 327-335 0040-5779 91:1<327 1992 91 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer