Structure theory of finite conformal algebras
Structure theory of finite conformal algebras
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DOI：
10.1007/s000290050036
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发表时间：
1998-09
期刊：
影响因子：
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通讯作者：
Alessandro D'Andrea;V. Kac
中科院分区：
文献类型：
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作者：
Alessandro D'Andrea;V. Kac
本文给出了有限秩的简单和半简单共形代数的分类，并研究了它们的表示理论，试图证明或反驳经典李代数表示理论结果的类似性。我将两个形式分布的算子乘积展开（OPE）用生成级数（我称之为“a括号”）重新表示，并研究了生成的代数结构的性质。上述分类描述了闭于OPE下的成对局部域的有限系统。
In this thesis I gave a classification of simple and semi-simple conformal algebras of finite rank, and studied their representation theory, trying to prove or disprove the analogue of the classical Lie algebra representation theory results. I re-expressed the operator product expansion (OPE) of two formal distributions by means of a generating series which I call" A-bracket" and studied the properties of the resulting algebraic structure. The above classification describes finite systems of pairwise local fields closed under the OPE.