# 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} }

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

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SHOWING 1-10 OF 46 REFERENCES

## Rationality of the vertex operator algebra VL+ for a positive definite even lattice L

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## Fusion Rules for the Charge Conjugation Orbifold

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Fusion Rules for the Free Bosonic Orbifold Vertex Operator Algebra

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## $${C_2}$$C2 -Cofiniteness of Cyclic-Orbifold Models

VIEW 1 EXCERPT

## Classification of irreducible V + L -modules for a negative definite rank one even lattice L

VIEW 1 EXCERPT