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Representations of Code Vertex Operator Superalgebras

Representations of Code Vertex Operator Superalgebras
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摘要 We study the representations of code vertex operator superalgebras resulting from a binary linear code which contains codewords of odd weight. We also show that there exists only one set of seven mutually orthogonal conformal vectors with central charge 1/2 in the Hamming code vertex operator superalgebra MH7. Phrthermore, we classify all the irreducible weak MH7-modules. We study the representations of code vertex operator superalgebras resulting from a binary linear code which contains codewords of odd weight. We also show that there exists only one set of seven mutually orthogonal conformal vectors with central charge 1/2 in the Hamming code vertex operator superalgebra MH7. Phrthermore, we classify all the irreducible weak MH7-modules.
作者 Wei Jiang
出处 《Algebra Colloquium》 SCIE CSCD 2015年第2期233-250,共18页 代数集刊(英文版)
关键词 vertex operator algebra irreducible module induced module code vertex operator superalgebra Hamming code vertex operator algebra, irreducible module, induced module, code vertex operator superalgebra, Hamming code
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