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On the Endomorphism Ring of a Simple Module Over an Enveloping Algebra

✍ Scribed by Daniel Quillen

Book ID
121796658
Publisher
American Mathematical Society
Year
1969
Tongue
English
Weight
106 KB
Volume
21
Category
Article
ISSN
0002-9939

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πŸ“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
✍ Ian M Musson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 100 KB

If α’„ is a classical simple Lie superalgebra α’„ / P n , the enveloping algebra Ε½ . Ε½ Ε½ .. U α’„ is a prime ring and hence has a simple artinian ring of quotients Q U α’„ by Ε½ Ε½ .. Goldie's Theorem. We show that if α’„ has Type I then Q U α’„ is a matrix ring Ε½ Ε½ .. Ε½ . over Q U α’„ . On the other hand, if α’„ s