The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras is written by Hans Plesner Jakobsen and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821825933 (ISBN 10) and 9780821825938 (ISBN 13).

This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.