Is the vertex algebra associated to a negative definite even lattice a vertex operator algebra?
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Is the lattice vertex algebra associated to a negative definite even lattice a vertex operator algebra? In particular if $L=mathbb{Z}alpha$ with $<alpha, alpha>=-2$, does $V_L=bigoplus_{n in mathbb{Z}} V_n$ satisfy dim$V_n<infty$ and $V_n=0$ for $n$ sufficiently small?
representation-theory lie-algebras
asked Dec 25 '18 at 18:16
MaroMaro
162
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add a comment |
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Is the lattice vertex algebra associated to a negative definite even lattice a vertex operator algebra? In particular if $L=mathbb{Z}alpha$ with $<alpha, alpha>=-2$, does $V_L=bigoplus_{n in mathbb{Z}} V_n$ satisfy dim$V_n<infty$ and $V_n=0$ for $n$ sufficiently small?
representation-theory lie-algebras
asked Dec 25 '18 at 18:16
MaroMaro
162
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Great question, Maro!! I've been wanting to know myself!
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– JohnKnoxV
Dec 25 '18 at 18:18
add a comment |
$begingroup$
Is the lattice vertex algebra associated to a negative definite even lattice a vertex operator algebra? In particular if $L=mathbb{Z}alpha$ with $<alpha, alpha>=-2$, does $V_L=bigoplus_{n in mathbb{Z}} V_n$ satisfy dim$V_n<infty$ and $V_n=0$ for $n$ sufficiently small?
representation-theory lie-algebras
asked Dec 25 '18 at 18:16
MaroMaro
162
$endgroup$
Is the lattice vertex algebra associated to a negative definite even lattice a vertex operator algebra? In particular if $L=mathbb{Z}alpha$ with $<alpha, alpha>=-2$, does $V_L=bigoplus_{n in mathbb{Z}} V_n$ satisfy dim$V_n<infty$ and $V_n=0$ for $n$ sufficiently small?
representation-theory lie-algebras
representation-theory lie-algebras
asked Dec 25 '18 at 18:16
MaroMaro
162
asked Dec 25 '18 at 18:16
MaroMaro
162
asked Dec 25 '18 at 18:16
MaroMaro
162
asked Dec 25 '18 at 18:16
MaroMaro
162
asked Dec 25 '18 at 18:16
MaroMaro
162
162
$begingroup$
Great question, Maro!! I've been wanting to know myself!
$endgroup$
– JohnKnoxV
Dec 25 '18 at 18:18
add a comment |
$begingroup$
Great question, Maro!! I've been wanting to know myself!
$endgroup$
– JohnKnoxV
Dec 25 '18 at 18:18
$begingroup$
Great question, Maro!! I've been wanting to know myself!
$endgroup$
– JohnKnoxV
Dec 25 '18 at 18:18
$begingroup$
Great question, Maro!! I've been wanting to know myself!
$endgroup$
– JohnKnoxV
Dec 25 '18 at 18:18
add a comment |
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Great question, Maro!! I've been wanting to know myself!
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– JohnKnoxV
Dec 25 '18 at 18:18