Corpus ID: 204734539

# The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$

@article{Tanabe2019TheIW,
title={The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order \$2\$},
author={Kenichiro Tanabe},
journal={arXiv: Quantum Algebra},
year={2019}
}
• Kenichiro Tanabe
• Published 2019
• Mathematics
• arXiv: Quantum Algebra
• Let $V_{L}$ be the vertex algebra associated to a non-degenerate even lattice $L$, $\theta$ the automorphism of $V_{L}$ induced from the $-1$ symmetry of $L$, and $V_{L}^{+}$ the fixed point subalgebra of $V_{L}$ under the action of $\theta$. We classify the irreducible weak $V_{L}^{+}$-modules. The result says that any irreducible weak $V_{L}^{+}$-module is isomorphic to a weak submodule of some irreducible weak $V_{L}$-module or to a weak submodule of some irreducible $\theta$-twisted weak… CONTINUE READING

## Representations of the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$

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