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COMMUTING ELEMENTS AND SPACES OF HOMOMORPHISMS
, 2006
"... Abstract. This article records basic topological, as well as homological properties of the space of homomorphisms Hom(π, G) where π is a finitely generated discrete group, and G is a Lie group, possibly noncompact. If π is a free abelian group of rank equal to n, then Hom(π, G) is the space of orde ..."
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Cited by 10 (7 self)
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Abstract. This article records basic topological, as well as homological properties of the space of homomorphisms Hom(π, G) where π is a finitely generated discrete group, and G is a Lie group, possibly noncompact. If π is a free abelian group of rank equal to n, then Hom(π, G) is the space
Homalgebra structures
 J. Gen. Lie Theory Appl
"... A Homalgebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of HomLie algebra was introduced by Hartwig, Larsson and Silvestrov in [4] and extended by Larsson and Silvestrov to quasihom Lie and quasiLie algebras in [5, 6]. In this ..."
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Cited by 84 (24 self)
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A Homalgebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of HomLie algebra was introduced by Hartwig, Larsson and Silvestrov in [4] and extended by Larsson and Silvestrov to quasihom Lie and quasiLie algebras in [5, 6
HomLie Superalgebras and HomLie . . .
, 2009
"... The purpose of this paper is to study HomLie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a particular case of Γgraded quasiLie algebras introduced by Larsson and Silvestrov. In this paper, we characterize HomLi ..."
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The purpose of this paper is to study HomLie superalgebras, that is a superspace with a bracket for which the superJacobi identity is twisted by a homomorphism. This class is a particular case of Γgraded quasiLie algebras introduced by Larsson and Silvestrov. In this paper, we characterize Hom
Complexes of graph homomorphisms
 Israel J. Math
"... Abstract. Hom (G, H) is a polyhedral complex defined for any two undirected graphs G and H. This construction was introduced by Lovász to give lower bounds for chromatic numbers of graphs. In this paper we initiate the study of the topological properties of this class of complexes. We prove that Hom ..."
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Cited by 48 (10 self)
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Abstract. Hom (G, H) is a polyhedral complex defined for any two undirected graphs G and H. This construction was introduced by Lovász to give lower bounds for chromatic numbers of graphs. In this paper we initiate the study of the topological properties of this class of complexes. We prove
Graph homomorphisms and phase transitions
 JOURNAL OF COMBINATORIAL THEORY SERIES B
, 1999
"... We model physical systems with "hard constraints" by the space Hom(G, H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. For any assignment * of positive real activities to the nodes of H, there is at least one Gibbs measure on Hom(G; H); when G is infi ..."
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Cited by 51 (5 self)
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We model physical systems with "hard constraints" by the space Hom(G, H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. For any assignment * of positive real activities to the nodes of H, there is at least one Gibbs measure on Hom(G; H); when G
LINKED HOM SPACES
"... In this note, we describe a theory of linked Hom spaces which complements that of linked Grassmannians. Given two chains of vector bundles linked by maps in both directions, we give conditions for the space of homomorphisms from one chain to the other to be itself represented by a vector bundle. We ..."
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In this note, we describe a theory of linked Hom spaces which complements that of linked Grassmannians. Given two chains of vector bundles linked by maps in both directions, we give conditions for the space of homomorphisms from one chain to the other to be itself represented by a vector bundle
Hom(M,Z). Thus
, 2014
"... Suppose G to be a connected reductive algebraic group defined over F, an algebraically closed field of characteristic 0, and further: B = a Borel subgroup N = the unipotent radical of B T = a maximal torus in B B = the opposite of B, with B ∩B = T N = unipotent radical of B Σ = roots of G, T Σ ± = ..."
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± = positive and negative roots ∆ = corresponding set of simple roots W = the Weyl group. In addition, define certain lattices and subsets: L ∨ = X∗(T) = group of algebraic homomorphisms Gm → T L = Hom(X∗(T),Z), the dual of L X∗(T) = group of algebraic homomorphisms T → Gm, the weights of T. There is a
On weighted graph homomorphisms
 Special DIMACSAMS volume on Graph Homomorphisms and Statistical Physics Models
, 2004
"... For given graphs G and H, let Hom(G,H)  denote the set of graph homomorphisms from G to H. We show that for any finite, nregular, bipartite graph G and any finite graph H (perhaps with loops), Hom(G,H)  is maximum when G is a disjoint union of Kn,n’s. This generalizes a result of J. Kahn on the ..."
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Cited by 13 (10 self)
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For given graphs G and H, let Hom(G,H)  denote the set of graph homomorphisms from G to H. We show that for any finite, nregular, bipartite graph G and any finite graph H (perhaps with loops), Hom(G,H)  is maximum when G is a disjoint union of Kn,n’s. This generalizes a result of J. Kahn
Some Results on Homomorphisms of Hypergroups
"... A homomorphism of a hypergroup (H, ◦) is a function f: H → H satisfying f(x ◦ y) ⊆ f(x) ◦ f(y) for all x, y ∈ H. A homomorphism of a hypergroup (H, ◦) is called an epimorphism if f(H) = H. Denote by Hom(H, ◦) and Epi(H, ◦) the set of all homomorphisms and the set of all epimorphisms of a hypergro ..."
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A homomorphism of a hypergroup (H, ◦) is a function f: H → H satisfying f(x ◦ y) ⊆ f(x) ◦ f(y) for all x, y ∈ H. A homomorphism of a hypergroup (H, ◦) is called an epimorphism if f(H) = H. Denote by Hom(H, ◦) and Epi(H, ◦) the set of all homomorphisms and the set of all epimorphisms of a
HOM COMPLEXES OF SET SYSTEMS
"... Abstract. A set system is a pair S = (V (S), ∆(S)), where ∆(S) is a family of subsets of the set V (S). We refer to the members of ∆(S) as the stable sets of S. A homomorphism between two set systems S and T is a map f : V (S) → V (T ) such that the preimage under f of every stable set of T is a st ..."
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Abstract. A set system is a pair S = (V (S), ∆(S)), where ∆(S) is a family of subsets of the set V (S). We refer to the members of ∆(S) as the stable sets of S. A homomorphism between two set systems S and T is a map f : V (S) → V (T ) such that the preimage under f of every stable set of T is a
Results 1  10
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