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Enveloping algebras of Slodowy slices and Goldie rank

✍ Scribed by Alexander Premet


Publisher
SP Birkhäuser Verlag Boston
Year
2011
Tongue
English
Weight
681 KB
Volume
16
Category
Article
ISSN
1083-4362

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📜 SIMILAR VOLUMES


Special Transverse Slices and Their Enve
✍ Alexander Premet 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 536 KB

Let G be a simple, simply connected algebraic group over C; g ¼ Lie G; NðgÞ the nilpotent cone of g; and ðE; H; F Þ an sl 2 -triple in g: Let S ¼ E þ Ker ad F ; the special transverse slice to the adjoint orbit O of E; and S 0 ¼ S \ NðgÞ: The coordinate ring C½S 0 is naturally graded (See Slodowy, '

On the Goldie Quotient Ring of the Envel
✍ Ian M Musson 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 100 KB

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