Ukrainian Mathematical Journal

, Volume 66, Issue 2, pp 253–272 | Cite as

Vertex Operator Representations of Type C l (1) and Product-Sum Identities

  • Li-Meng Xia
  • Naihong Hu

We construct a class of homogeneous vertex representations of C l (1) , l ≥ 2, and deduce a series of product-sum identities. These identities have fine interpretation in the number theory.


Vertex Operator Cartan Subalgebra Product Identity High Weight Vector Isomorphic Copy 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Li-Meng Xia
    • 1
  • Naihong Hu
    • 2
  1. 1.Jiangsu UniversityJiangsuChina
  2. 2.East China Normal UniversityShanghaiChina

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