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Quaternions, octonions and the forms of the exceptional simple classical Lie superalgebras

โœ Scribed by Alberto Elduque

Publisher
European Mathematical Society
Year
2004
Tongue
English
Weight
247 KB
Volume
79
Category
Article
ISSN
0010-2571

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If แ’„ is a classical simple Lie superalgebra แ’„ / P n , the enveloping algebra ลฝ . ลฝ ลฝ .. U แ’„ is a prime ring and hence has a simple artinian ring of quotients Q U แ’„ by ลฝ ลฝ .. Goldie's Theorem. We show that if แ’„ has Type I then Q U แ’„ is a matrix ring ลฝ ลฝ .. ลฝ . over Q U แ’„ . On the other hand, if แ’„ s

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