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On Certain Maximal Subfields in the Quotient Division Ring of an Enveloping Algebra

โœ Scribed by Alfons I. Ooms

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
137 KB
Volume
230
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

On the Goldie Quotient Ring of the Envel
On the Goldie Quotient Ring of the Enveloping Algebra of a Classical Simple Lie Superalgebra
โœ Ian M Musson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

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