Results 31 to 40 of about 24,735 (283)
THE MONOID OF FAMILIES OF QUIVER REPRESENTATIONS [PDF]
Proceedings of the London Mathematical Society, 2002 A monoid structure on families of representations of a quiver is introduced by taking extensions of representations in families, that is, subvarieties of the varieties of representations. The study of this monoid leads to interesting interactions between representation theory, algebraic geometry and quantum group theory.
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On $n$-translation algebras [PDF]
, 2015 Motivated by Iyama's higher representation theory, we introduce $n$-translation quivers and $n$-translation algebras. The classical $\mathbb Z Q$ construction of the translation quiver is generalized to construct an $(n+1)$-translation quiver from an $n$-
Guo, Jin Yun
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Full quivers of representations of algebras [PDF]
Transactions of the American Mathematical Society, 2012 We introduce the notion of the full quiver of a representation of an algebra, which is a cover of the (classical) quiver, but which captures properties of the representation itself. Gluing of vertices and of arrows enables one to study subtle combinatorial aspects of algebras which are lost in the classical quiver.
Belov-Kanel, Alexei +2 more
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Quiver theories and formulae for Slodowy slices of classical algebras
Nuclear Physics B, 2019 We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera +2 more
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Semi-invariants of symmetric quivers of tame type [PDF]
, 2010 A symmetric quiver $(Q,\sigma)$ is a finite quiver without oriented cycles $Q=(Q_0,Q_1)$ equipped with a contravariant involution $\sigma$ on $Q_0\sqcup Q_1$. The involution allows us to define a nondegenerate bilinear form $$ on a representation $V$ of $
A Schofield +23 more
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Gauge invariants and correlators in flavoured quiver gauge theories
Nuclear Physics B, 2016 In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions,
Paolo Mattioli, Sanjaye Ramgoolam
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Local Quivers and Stable Representations [PDF]
Communications in Algebra, 2003 In this paper we introduce and study the local quiver as a tool to investigate the etale local structure of moduli spaces of theta-stable representations of quivers. As an application we determine the dimension vectors associated to irreducible representations of torus knot groups.
Adriaenssens, Jan, Le Bruyn, Lieven
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Multi-cover skeins, quivers, and 3d [PDF]
, 2020 The relation between open topological strings and representation theory of symmetric quivers is explored beyond the original setting of the knot-quiver correspondence.
Ekholm, Tobias +2 more
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Noncrossing partitions and representations of quivers [PDF]
Compositio Mathematica, 2009 AbstractWe situate the noncrossing partitions associated with a finite Coxeter group within the context of the representation theory of quivers. We describe Reading’s bijection between noncrossing partitions and clusters in this context, and show that it extends to the extended Dynkin case.
Ingalls, Colin, Thomas, Hugh
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MacMahon KZ equation for Ding-Iohara-Miki algebra
Journal of High Energy Physics, 2021 We derive a generalized Knizhnik-Zamolodchikov equation for the correlation function of the intertwiners of the vector and the MacMahon representations of Ding-Iohara-Miki algebra. These intertwiners are cousins of the refined topological vertex which is
Panupong Cheewaphutthisakun +1 more
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