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

· American Mathematical Society: Memoirs of the American Mathematical Society Book 532 · American Mathematical Soc.
Ebook
116
Pages
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About this ebook

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.

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