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Some properties of general linear supergroups and of Schur superalgebras

โœ Scribed by A. N. Zubkov

Publisher
Springer US
Year
2006
Tongue
English
Weight
347 KB
Volume
45
Category
Article
ISSN
0002-5232

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โœ M. Scheunert; R.B. Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 304 KB

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.