English

A note on modular properties of non-principal and non-coprincipal admissible $C^{(1)}_2$-modules of integer level

Representation Theory 2025-12-12 v1 Number Theory

Abstract

For the affine Lie algebra C2(1)C_2^{(1)} we study non-principal and non-coprincipal admissible modules of integer level and their quantum Hamiltonian reduction, and show that they have Γ0(2)\Gamma_0(2)-modular invariance.

Keywords

Cite

@article{arxiv.2512.10556,
  title  = {A note on modular properties of non-principal and non-coprincipal admissible $C^{(1)}_2$-modules of integer level},
  author = {Minoru Wakimoto},
  journal= {arXiv preprint arXiv:2512.10556},
  year   = {2025}
}