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723
AFFINE SYMMETRIES OF ORBIT POLYTOPES
, 2014
"... An orbit polytope is the convex hull of an orbit under a finite group G 6 GL(d,R). We develop a general theory of possible affine symmetry groups of orbit polytopes. For every group, we define an open and dense set of generic points such that the orbit polytopes of generic points have conjugated a ..."
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An orbit polytope is the convex hull of an orbit under a finite group G 6 GL(d,R). We develop a general theory of possible affine symmetry groups of orbit polytopes. For every group, we define an open and dense set of generic points such that the orbit polytopes of generic points have conjugated
Tensor Generalizations of Affine Symmetry Vectors
, 2009
"... A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors is proved, which gives the second derivative of the tensor in terms of the curva ..."
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A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors is proved, which gives the second derivative of the tensor in terms
Quantum affine symmetry in vertex models
, 1992
"... We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra Uq ( ̂ sl2). Using the method developed recently for the XXZ spin chain, we formulate the space of states, transfer matrix, vacuum, creation/annihilation operators of particles, an ..."
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Cited by 38 (8 self)
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We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra Uq ( ̂ sl2). Using the method developed recently for the XXZ spin chain, we formulate the space of states, transfer matrix, vacuum, creation/annihilation operators of particles
STRUCTURAL TEXTURE SEGMENTATION USING AFFINE SYMMETRY
"... Many natural textures comprise structural patterns and show strong selfsimilarity. We use affine symmetry to segment an image into selfsimilar regions; that is a patch of texture (blocks from a uniformly partitioned image) can be transformed to other similar patches by warping. If the texture imag ..."
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Cited by 2 (1 self)
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Many natural textures comprise structural patterns and show strong selfsimilarity. We use affine symmetry to segment an image into selfsimilar regions; that is a patch of texture (blocks from a uniformly partitioned image) can be transformed to other similar patches by warping. If the texture
A Note on Proper Affine Symmetry in Bianchi Types SpaceTimes
, 2010
"... Abstract A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII spacetimes is given by using holonomy and decomposability, the rank of the 6 6 × Riemann matrix and direct integration techniques. It is shown that the very special classes of the above spacetimes ..."
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Abstract A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII spacetimes is given by using holonomy and decomposability, the rank of the 6 6 × Riemann matrix and direct integration techniques. It is shown that the very special classes of the above space
Image Representation Based On The Affine Symmetry Group
, 1996
"... The representation of 2D signals which are symmetric under the affine group of transformations is considered. An extension of the Multiresolution Fourier Transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal. ..."
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Cited by 10 (1 self)
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The representation of 2D signals which are symmetric under the affine group of transformations is considered. An extension of the Multiresolution Fourier Transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal
Affine Symmetry in Mechanics of Collective and Internal Modes
 Part I. Classical Models’, Rep. Math. Phys
, 2004
"... Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempts of this kind is that it is not only kinematics but also dynamics that is affinelyinvariant. The relationship with the ..."
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Cited by 4 (4 self)
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Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempts of this kind is that it is not only kinematics but also dynamics that is affinelyinvariant. The relationship
Dual polyhedra and mirror symmetry for Calabi–Yau hypersurfaces in toric varieties
 J. Alg. Geom
, 1994
"... We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined by ..."
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Cited by 467 (20 self)
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We consider families F(∆) consisting of complex (n − 1)dimensional projective algebraic compactifications of ∆regular affine hypersurfaces Zf defined by Laurent polynomials f with a fixed ndimensional Newton polyhedron ∆ in ndimensional algebraic torus T = (C ∗ ) n. If the family F(∆) defined
From Quantum Affine Symmetry to Boundary AskeyWilson Algebra and Reflection Equation
, 804
"... Within the quantum affine algebra representation theory we construct linear covariant operators that generate the AskeyWilson algebra. It has the property of a coideal subalgebra, which can be interpreted as the boundary symmetry algebra of a model with quantum affine symmetry in the bulk. The gene ..."
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Within the quantum affine algebra representation theory we construct linear covariant operators that generate the AskeyWilson algebra. It has the property of a coideal subalgebra, which can be interpreted as the boundary symmetry algebra of a model with quantum affine symmetry in the bulk
From Quantum Affine Symmetry to Boundary AskeyWilson Algebra and Reflection Equation
, 804
"... Within the quantum affine algebra representation theory we construct linear covariant operators that generate the AskeyWilson algebra. It has the property of a coideal subalgebra, which can be interpreted as the boundary symmetry algebra of a model with quantum affine symmetry in the bulk. The gene ..."
Abstract
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Within the quantum affine algebra representation theory we construct linear covariant operators that generate the AskeyWilson algebra. It has the property of a coideal subalgebra, which can be interpreted as the boundary symmetry algebra of a model with quantum affine symmetry in the bulk
Results 1  10
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723