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pro vyhledávání: '"Griess Jr, Robert L."'
Autor:
Griess, Jr, Robert L.
We suggest a few projects for studying vertex algebras with emphasis on finite group viewpoints.
Comment: dedicated to Geoffrey Mason
Comment: dedicated to Geoffrey Mason
Externí odkaz:
http://arxiv.org/abs/1903.08805
Autor:
Griess Jr, Robert L.
We give a brief survey of recent work on integral forms in vertex operator algebras (VOAs).
Comment: Lecture at Ischia Group Theory Meeting, 20 March, 2018
Comment: Lecture at Ischia Group Theory Meeting, 20 March, 2018
Externí odkaz:
http://arxiv.org/abs/1903.08292
Autor:
Dong, Chongying, Griess Jr, Robert L.
We prove a determinant formula for the standard integral form of a lattice vertex operator algebra.
Externí odkaz:
http://arxiv.org/abs/1903.08210
Autor:
Dong, Chongying, Griess Jr, Robert L.
Certain vertex operator algebras have integral forms (integral spans of bases which are closed under the countable set of products). It is unclear when they (or integral multiples of them) are integral as lattices under the natural bilinear form on t
Externí odkaz:
http://arxiv.org/abs/1405.4476
Autor:
Griess Jr., Robert L., Lam, Ching Hung
A vertex operator algebra of lattice type ADE has a standard integral form which extends a Chevalley basis for its degree 1 Lie algebra. This integral form may be used to define a vertex algebra over a commutative ring $R$ and to get a Chevalley grou
Externí odkaz:
http://arxiv.org/abs/1308.2270
Autor:
Griess Jr., Robert L., lam, Ching Hung
We continue the program to make a moonshine path between a node of the extended $E_8$-diagram and the Monster. Our theory is a concrete model expressing some of the mysterious connections identified by John McKay, George Glauberman and Simon Norton.
Externí odkaz:
http://arxiv.org/abs/1205.6017
Autor:
Griess Jr, Robert L., Dong, Chongying
For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA which is
Externí odkaz:
http://arxiv.org/abs/1201.3411
Autor:
Griess Jr., Robert L., Lam, Ching Hung
We use uniqueness of a VOA (vertex operator algebra) extension of $(V_{EE_8}^+)^3$ to a Moonshine type VOA to give a new existence proof of a finite simple group of Monster type. The proof is relatively direct. Our methods depend on VOA representatio
Externí odkaz:
http://arxiv.org/abs/1103.1414
Let E be an integral lattice. We first discuss some general properties of an SDC lattice, i.e., a sum of two diagonal copies of E in E \bot E. In particular, we show that its group of isometries contains a wreath product. We then specialize this stud
Externí odkaz:
http://arxiv.org/abs/1101.2188
Autor:
Griess Jr., Robert L., Lam, Ching Hung
We continue the program, begun in \cite{gl3cpath}, to make a moonshine path between a node of the extended $E_8$-diagram and the Monster simple group. Our goal is to provide a context for observations of McKay, Glauberman and Norton by realizing thei
Externí odkaz:
http://arxiv.org/abs/1006.3907