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Simple quotient rings of group algebras

โœ Scribed by John Hannah


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
817 KB
Volume
59
Category
Article
ISSN
0021-8693

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Let K be a compact Lie group and X a real algebraic (or real analytic) K-variety. We find conditions under which the quotient X/K is again algebraic (real analytic), and we compare properties of X and X/K, including coherence and smoothness. For example, if L is a closed subgroup of K and A is a rea

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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