Real representations of quivers
Lidia Hügeli, Sverre Smalø (1999)
Colloquium Mathematicae
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The Dynkin and the extended Dynkin graphs are characterized by representations over the real numbers.
Lidia Hügeli, Sverre Smalø (1999)
Colloquium Mathematicae
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The Dynkin and the extended Dynkin graphs are characterized by representations over the real numbers.
Harm Derksen, Jerzy Weyman (2011)
Annales de l’institut Fourier
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We give a description of faces, of all codimensions, for the cones spanned by the set of weights associated to the rings of semi-invariants of quivers. For a triple flag quiver and its faces of codimension 1 this description reduces to the result of Knutson-Tao-Woodward on the facets of the Klyachko cone. We give new applications to Littlewood-Richardson coefficients, including a product formula for LR-coefficients corresponding to triples of partitions lying on a wall of the Klyachko...
Christof Geiß, Bernard Leclerc, Jan Schröer (2008)
Annales de l’institut Fourier
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Let be a preprojective algebra of type , and let be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories for an injective -module, and we introduce a mutation operation between complete rigid modules in . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to .
Kuttler, Jochen, Lakshmibai, Venkatramani (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hopkins, Mark J., Molev, Alexander I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Grzegorz Zwara (1997)
Colloquium Mathematicae
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Stanisław Kasjan (2003)
Open Mathematics
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Let V be a valuation ring in an algebraically closed field K with the residue field R. Assume that A is a V-order such that the R-algebra Ā obtained from A by reduction modulo the radical of V is triangular and representation-finite. Then the K-algebra KA ≅ A ⊗V is again triangular and representation-finite. It follows by the van den Dries’s test that triangular representation-finite algebras form an open scheme.
Morris, Alun O., Jones, Huw I. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Doikou, Anastasia, Karaiskos, Nikos (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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