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Dynkin Diagrams of
, 1993
"... We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topologicalantitopological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these the ..."
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We investigate N = 2 supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to N = 2 superconformal field theories. Using the equations of topologicalantitopological fusion for the topological orbifold, we compute the generalized Dynkin diagrams
Complex reflection groups and Dynkin diagrams
, 2006
"... Complex reflection groups and Dynkin diagrams ..."
The periodicity conjecture for pairs of Dynkin diagrams
, 2010
"... We prove the periodicity conjecture for pairs of Dynkin diagrams using FominZelevinsky’s cluster algebras and their (additive) categorification via triangulated categories. ..."
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Cited by 39 (0 self)
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We prove the periodicity conjecture for pairs of Dynkin diagrams using FominZelevinsky’s cluster algebras and their (additive) categorification via triangulated categories.
Linkable Dynkin diagrams
 J. Algebra
"... In this article we develop some aspects of the construction of new Hopf algebras found recently by Andruskiewitsch and Schneider [AS1]. There the authors classified (under some slight restrictions) all pointed finite dimensional Hopf algebras with coradical (Z/p) s. We contribute to this work by giv ..."
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Cited by 7 (1 self)
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In this article we develop some aspects of the construction of new Hopf algebras found recently by Andruskiewitsch and Schneider [AS1]. There the authors classified (under some slight restrictions) all pointed finite dimensional Hopf algebras with coradical (Z/p) s. We contribute to this work by giving a closer description of the possible “exotic” linkings. 1
Enhanced Dynkin diagrams and Weyl orbits
, 2010
"... The root system Σ of a complex semisimple Lie algebra is uniquely determined by its basis (also called a simple root system). It is natural to ask whether all homomorphisms of root systems come from homomorphisms of their bases. Since the Dynkin diagram of Σ is, in general, not large enough to conta ..."
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The root system Σ of a complex semisimple Lie algebra is uniquely determined by its basis (also called a simple root system). It is natural to ask whether all homomorphisms of root systems come from homomorphisms of their bases. Since the Dynkin diagram of Σ is, in general, not large enough
Open Orbits and Augmentations of Dynkin Diagrams
, 2008
"... Given any representation V of a complex linear reductive Lie group G0, we show that a larger semisimple Lie group G with g = g0 ⊕ V ⊕ V ∗ ⊕ · · ·, exists precisely when V has a finite number of G0orbits. In particular, V admits an open G0orbit. Furthermore, this corresponds to an augmentation ..."
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to an augmentation of the Dynkin diagram of g0. The representation theory of g should be useful in describing the geometry of manifolds with stable forms as studied by Hitchin.
Representations of tensor categories and Dynkin diagrams
 Internat. Math. Res. Notices
, 1995
"... In this note we illustrate by a few examples the general principle: interesting algebras and representations defined over Z+ come from category theory, and are best understood when their categorical origination has been discovered. We show that indecomposable Z+representations of the character ring ..."
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Cited by 8 (1 self)
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ring of SU(2) satisfying certain conditions correspond to affine and infinite Dynkin diagrams with loops. We also show that irreducible Z+representations of the Verlinde algebra (the character ring of the quantum group SU(2)q, where q is a root of unity), satisfying similar conditions correspond
Dynkin diagram sequences and stabilization phenomena
, 2008
"... We continue the study of stabilization phenomena for Dynkin diagram sequences initiated in the earlier work of Kleber and the present author. We consider a more general class of sequences than that of this earlier work, and isolate a condition on the weights that gives stabilization of tensor produc ..."
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Cited by 1 (0 self)
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We continue the study of stabilization phenomena for Dynkin diagram sequences initiated in the earlier work of Kleber and the present author. We consider a more general class of sequences than that of this earlier work, and isolate a condition on the weights that gives stabilization of tensor
Minuscule Heaps over Dynkin diagrams of type Ã
 Electron. J. Combin
, 2004
"... A minuscule heap is a partially ordered set, together with a labeling of its elements by the nodes of a Dynkin diagram, satisfying certain conditions derived by J. Stembridge. This paper classi es the minuscule heaps over the Dynkin diagram of type ~ A. ..."
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Cited by 3 (1 self)
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A minuscule heap is a partially ordered set, together with a labeling of its elements by the nodes of a Dynkin diagram, satisfying certain conditions derived by J. Stembridge. This paper classi es the minuscule heaps over the Dynkin diagram of type ~ A.
Results 1  10
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