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216,396
Modular group
, 1999
"... Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality ..."
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between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a
CATEGORICAL REPRESENTATIONS OF THE MODULAR GROUP
"... Abstract. Actions of the modular group on categories are constructed. A hyperelliptic involution is used to convert the braid representations underlying Khovanov homology to representations of the modular group. 1. ..."
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Abstract. Actions of the modular group on categories are constructed. A hyperelliptic involution is used to convert the braid representations underlying Khovanov homology to representations of the modular group. 1.
Membership Problem for the Modular Group
, 2007
"... The modular group plays an important role in many branches of mathematics. We show that the membership problem for the modular group is decidable in polynomial time. To this end, we develop a new syllablebased version of the known subgroupgraph approach. The new approach can be used to prove addi ..."
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Cited by 2 (0 self)
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The modular group plays an important role in many branches of mathematics. We show that the membership problem for the modular group is decidable in polynomial time. To this end, we develop a new syllablebased version of the known subgroupgraph approach. The new approach can be used to prove
Computing with subgroups of the modular group
, 2013
"... We give several algorithms for finitely generated subgroups of the modular group PSL2(Z), given by sets of generators. First, we present an algorithm to check whether a finitely generated subgroup H has finite index in the full modular group. Then we discuss how to parametrise the right cosets of H ..."
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We give several algorithms for finitely generated subgroups of the modular group PSL2(Z), given by sets of generators. First, we present an algorithm to check whether a finitely generated subgroup H has finite index in the full modular group. Then we discuss how to parametrise the right cosets of H
RATIONAL TANGLES AND THE MODULAR GROUP
, 908
"... Abstract. There is a natural way to associate with a transformation of an isotopy class of rational tangles to another, an element of the modular group. The correspondence between the isotopy classes of rational tangles and rational numbers follows, as well as the relation with the braid group B3. ..."
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Abstract. There is a natural way to associate with a transformation of an isotopy class of rational tangles to another, an element of the modular group. The correspondence between the isotopy classes of rational tangles and rational numbers follows, as well as the relation with the braid group B3.
Motives for elliptic modular groups
, 909
"... In order to study the arithmetic structure of elliptic modular groups which are the fundamental groups of compactified modular curves with cuspidal base points, these truncated Malcev Lie algebras and their direct sums are considered as elliptic modular motives. Our main result is a new theory of He ..."
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Cited by 1 (0 self)
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In order to study the arithmetic structure of elliptic modular groups which are the fundamental groups of compactified modular curves with cuspidal base points, these truncated Malcev Lie algebras and their direct sums are considered as elliptic modular motives. Our main result is a new theory
Distribution of eigenvalues for the modular group
 Progress in Math
, 1996
"... The twopoint correlation functions of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the Hardy– Littlewood method. It is shown that in the limit of small separations they show an uncorrelat ..."
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Cited by 16 (2 self)
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The twopoint correlation functions of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the Hardy– Littlewood method. It is shown that in the limit of small separations they show
On the generator of massive modular groups
 mathph/0601036 and University of Hamburg thesis 2005
"... The purpose of this paper is to shed more light on the transition from the known massless modular action to the wanted massive one in the case of forward light cones and double cones. The infinitesimal generator δm of the modular automorphism group ( σ t) m is investigated, in particular, t∈ some as ..."
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Cited by 7 (0 self)
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The purpose of this paper is to shed more light on the transition from the known massless modular action to the wanted massive one in the case of forward light cones and double cones. The infinitesimal generator δm of the modular automorphism group ( σ t) m is investigated, in particular, t∈ some
Isomorphism of Modular group algebras
 MATH.Z. 129,65 73(1972)
, 1972
"... For a group G, let Mj(G) be the ith termin its BrauerJenningsZassenhaus series which is defined inductively by M1(G)=G, Mj(G)= (G,Mjl(G») M(ilp)(G)Pfor i>2 where(i/p)is the least integer >i/p and (G,Mil (G») denotes the subgroup generatedby all commutators ..."
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Cited by 4 (0 self)
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For a group G, let Mj(G) be the ith termin its BrauerJenningsZassenhaus series which is defined inductively by M1(G)=G, Mj(G)= (G,Mjl(G») M(ilp)(G)Pfor i>2 where(i/p)is the least integer >i/p and (G,Mil (G») denotes the subgroup generatedby all commutators
Results 1  10
of
216,396