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Annihilating fields of standard modules of $\germ s\germ l(2,C)^{∼}$ 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)
DOI: https://doi.org/10.1090/memo/0652
MathSciNet review: 1458529
MSC: Primary 17B69; Secondary 05A19, 17B67
Table of Contents
Chapters
- 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