Simple Conformal Superalgebras of Finite Growth |
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| Authors: | Xiaoping Xu |
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| Institution: | (1) Department of Mathematics, The Hong Kong University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong |
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| Abstract: | In this paper, we construct six families of infinite simple conformal superalgebras of finite growth based on our earlier work on constructing vertex operator superalgebras from graded assocaitive algebras. Three subfamilies of these conformal superalgebras are generated by simple Jordan algebras of types A, B, and C in a certain sense.Research supported by Hong Kong RGC Competitive Earmarked Research Grant HKUST709/96P.2000 Mathematics Subject Classification: primary 17A30, 17A60; secondary 17B20, 81Q60 |
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| Keywords: | conformal superalgebras weights finite growth matrix algebras Jordan algebras Lie algebras |
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