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Structure and Representations of the Quantum General Linear Supergroup

✍ Scribed by R. B. Zhang


Publisher
Springer
Year
1998
Tongue
English
Weight
297 KB
Volume
195
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


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The structure of the Hopf superalgebra B of regular functions on the general linear supergroup is developed, and applied to study the representation theory of the supergroup. It is shown that the general linear supergroup can be reconstructed from B in a way reminiscent of the Tannaka-Krein theory.

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The representations of general dimension are constructed for the SU(2) Skyrme model, treated quantum mechanically ab initio. This quantum Skyrme model has a negative mass term correction that is not present in the classical Hamiltonian. The magnitude of the quantum mechanical mass correction increas