Central extensions of current groups in two dimensions
نویسندگان
چکیده
منابع مشابه
Central Extensions of Current Groups in Two Dimensions
The theory of loop groups and their representations [13] has recently developed in an extensive field with deep connections to many areas of mathematics and theoretical physics. On the other hand, the theory of current groups in higher dimensions contains rather isolated results which have not revealed so far any deep structure comparable to the one-dimensional case. In the present paper we inv...
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15 صفحه اولUniversal Locally Finite Central Extensions of Groups
DEFINITION. A group G is called a universal locally finite central extension of A provided that the following conditions are satisfied. (i) A <= (G (the centre of G). (ii) G is locally finite. (iii) (/1-injectivity). Suppose that A <= B <= D with A a (D, that D/A is finite, and that q>: B -> G is an ^-isomorphism (that is, q>{a) = a for all as A). Then there exists an extension q>: D -*• G of (...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1994
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099419