✦ LIBER ✦

A geometric proof of the conjugacy of borel and Cartan subalgebras of the classical simple Lie algebras

✍ Scribed by Michael A Gauger

Publisher: Elsevier Science
Year: 1980
Tongue: English
Weight: 255 KB
Volume: 37
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(80)90025-0

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