Krull dimension of the enveloping algebra of a semisimple Lie algebra
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چکیده
منابع مشابه
Krull Dimension of the Enveloping Algebra of s / ( 2 , C )
Let U denote the enveloping algebra of the simple Lie algebra ~42, C). In this paper it is shown that the Krull dimension of U (denoted ] U]) is two. If U(g) is the enveloping algebra of a finite-dimensional solvable Lie algebra g then it is straightforward to show that ) U(g)] = dim g [5, 3.8.111. The problem as to the Krull dimension of U was first mentioned by Gabriel and Nouazt [9] they sho...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06507-3