In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space.(The Monster preserves the standard inner product on the 196884-space.) Griess's construction was later simplified by Jacques Tits and John H. Conway.
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| - Griess algebra (en)
- Algebra di Griess (it)
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| - In matematica, l'algebra di Griess è un'algebra su campo non associativa e commutativa su uno spazio vettoriale reale a 196884 dimensioni il cui gruppo di automorfismi è il gruppo mostro. Essa prende il nome dal matematico , che l'ha costruita nel 1980 e l'ha utilizzata nel 1982 per costruire il gruppo mostro. (it)
- In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space.(The Monster preserves the standard inner product on the 196884-space.) Griess's construction was later simplified by Jacques Tits and John H. Conway. (en)
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| - In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space.(The Monster preserves the standard inner product on the 196884-space.) Griess's construction was later simplified by Jacques Tits and John H. Conway. The Griess algebra is the same as the degree 2 piece of the monster vertex algebra, and the Griess product is one of the vertex algebra products. (en)
- In matematica, l'algebra di Griess è un'algebra su campo non associativa e commutativa su uno spazio vettoriale reale a 196884 dimensioni il cui gruppo di automorfismi è il gruppo mostro. Essa prende il nome dal matematico , che l'ha costruita nel 1980 e l'ha utilizzata nel 1982 per costruire il gruppo mostro. (it)
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