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$C_2$-cofiniteness of 2-cycic permutation orbifold models
2-cycic permutation orbifold models Quantum Algebra
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2011/9/6
Abstract: In this article, we consider permutation orbifold models of $C_2$-cofinite vertex operator algebras of CFT type. We show the $C_2$-cofiniteness of the 2-cyclic permutation orbifold model $(V...
Toric CFTs, Permutation Triples, and Belyi Pairs
Toric CFTs Permutation Triples Belyi Pairs
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2011/3/2
Four-dimensional CFTs dual to branes transverse to toric Calabi{Yau threefolds have been described by bipartite graphs on a torus (dimer models). We use the theory of dessins d'enfants to describe the...
The quantum permutation group of an infinite countable set
Quantum permutation group von Neumann algebra projective limit
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2010/12/10
Two different models for a Hopf–von Neumann algebra of bounded functions on the quantum permutation group on infinitely many elements are proposed, one based on projective limits of enveloping von Neu...
Permutation Weights and Modular Poincare Polynomials for Affine Lie Algebras
Permutation Weights Modular Poincare Polynomials Affine Lie Algebras
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2010/12/8
Poincare Polynomial of a Kac-Moody Lie algebra can be obtained by classifying the
Weyl orbit W() of its Weyl vector . A remarkable fact for Affine Lie algebras is that the
number of elements of W(...
On Finitary Permutation Groups
Finitary permutation primitive almost primitive totally imprimitive
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2010/2/26
In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. ...
Locally Finite Barely Transitive Permutation Group with Almost Nilpotent Point Stabilizers
Transitive Permutation Group Nilpotent Point Stabilizers
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2010/3/5
We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices |H : H \cap Hg| (g...