Schur duality for the Cartan type Lie algebra .

Nishiyama, Kyo

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According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use of the ℤ-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras....

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Displaying similar documents to “Schur duality for the Cartan type Lie algebra W n .”

Displaying similar documents to “Schur duality for the Cartan type Lie algebra $W_{n}$ .”