Monster vertex algebra information

The monster vertex algebra (or moonshine module) is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky...

In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string...

moonshine is now known to be underlain by a vertex operator algebra called the moonshine module (or monster vertex algebra) constructed by Igor Frenkel, James...

In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest...

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. Conway...

In mathematics, the monster Lie algebra is an infinite-dimensional generalized Kac–Moody algebra acted on by the monster group, which was used to prove...

joint work with Igor Frenkel and Arne Meurman, he constructed the monster vertex algebra (also known as the Moonshine module). His PhD students include Stefano...

In the area of modern algebra known as group theory, the baby monster group B (or, more simply, the baby monster) is a sporadic simple group of order    4...

groups and vertex operator algebras. Currently, he is a professor at Lund University. He is best known for constructing the monster vertex algebra together...

Arne Meurman, he constructed the monster vertex algebra, a vertex algebra which provides a representation of the monster group. Around 1990, as a member...

explicit construction of the Griess algebra that has the monster group as its automorphism group. This monster vertex algebra was also used to prove the monstrous...

well as on vertex operator algebras and the classification of finite simple groups. In 1982, he published the first construction of the monster group using...

the Monster group is a product of the Thompson group and a group of order 3, as a result of which the Thompson group acts on a vertex operator algebra over...

Lepowsky and Meurman, Vertex Operator Algebras and the Monster, Academic Press, 1988 ISBN 0-12-267065-5. Kac, Victor, Vertex Algebras for Beginners, Second...

moonshine. The monster is the automorphism group of the 196,883-dimensional Griess algebra and the infinite-dimensional monster vertex operator algebra, and acts...

character of any element in conjugacy class 4C of the monster group acting on the monster vertex algebra. Chandrasekharan (1985) p.115 Chandrasekharan (1985)...

Tangential: all sides are tangent to an inscribed circle. Isogonal or vertex-transitive: all corners lie within the same symmetry orbit. The polygon...

centralizes an element of order 11 in the monster group, as a result of which it acts naturally on a vertex algebra over the field with 11 elements, given...

mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph...

Duncan (2006) used the 28-dimensional lattice to construct a vertex operator algebra acted on by the double cover. Alternatively, the double cover can...

explained by thinking of the algebras as a tower of lattice vertex operator algebras. It just so happens that the vertex algebras at the bottom are so simple...

Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex Operator Algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Academic Press...

representation over the field with 7 elements, and it acts naturally on a vertex operator algebra over the field with 7 elements. The smallest permutation representation...

in the Monster". Moonshine: The First Quarter Century and Beyond; Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras. London...

is the first algebra to contain non-trivial zero divisors as with all further algebras over larger fields. Altogether, these five algebras operate, respectively...