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Borwein identity and vertex operator algebras

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Publication:1587662
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DOI10.1006/jnth.1999.2482zbMath0969.17017OpenAlexW2006817343MaRDI QIDQ1587662

Masahiko Miyamoto, Masaaki Kitazume, Hiromichi Yamada

Publication date: 26 April 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2482


zbMATH Keywords

Jacobi identityautomorphismsroot latticeslattice vertex operator algebrasBorwein identity


Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Elliptic functions and integrals (33E05)


Related Items (1)

Coset construction of \(\mathbb Z/3\) orbifold vertex operator algebra \(V_{\sqrt{2}A_2}^{\tau}\)



Cites Work

  • \(U_n\) lattices, construction \(B\), and AGM iterations
  • Generalized vertex algebras and relative vertex operators
  • Vertex algebras associated with even lattices
  • Vertex algebras, Kac-Moody algebras, and the Monster
  • Some Cubic Modular Identities of Ramanujan
  • A Cubic Counterpart of Jacobi's Identity and the AGM
  • On axiomatic approaches to vertex operator algebras and modules
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