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Annihilating fields of standard modules of ${\germ s}{\germ l}(2,{\bf C})^\sim $ and combinatorial identities

About this Title

Arne Meurman and Mirko Primc

Publication: Memoirs of the American Mathematical Society
Publication Year 1999: Volume 137, Number 652
ISBNs: 978-0-8218-0923-5 (print); 978-1-4704-0241-9 (online)
MathSciNet review: 1458529
MSC: Primary 17B69; Secondary 05A19, 17B67

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Table of Contents


  • Introduction
  • 1. Formal Laurent series and rational functions
  • 2. Generating fields
  • 3. The vertex operator algebra $N(k\Lambda _0)$
  • 4. Modules over $N(k\Lambda _0)$
  • 5. Relations on standard modules
  • 6. Colored partitions, leading terms and the main results
  • 7. Colored partitions allowing at least two embeddings
  • 8. Relations among relations
  • 9. Relations among relations for two embeddings
  • 10. Linear independence of bases of standard modules
  • 11. Some combinatorial identities of Rogers-Ramanujan type