Results 31 to 40 of about 18,171 (278)

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, Rowen, Louis H., Vishne, Uzi   +2 more
openaire   +2 more sources

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
openaire   +3 more sources

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
openaire   +4 more sources

Wilson loops in 5d long quiver gauge theories

Journal of High Energy Physics, 2020
Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge ...
Christoph F. Uhlemann
doaj   +1 more source

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, Hiroaki Kanno   +1 more
doaj   +1 more source

Quiver Bialgebras and Monoidal Categories

, 2013
We study the bialgebra structures on quiver coalgebras and the monoidal structures on the categories of locally nilpotent and locally finite quiver representations.
Huang, Hua-Lin, Torrecillas, Blas
core   +1 more source

Quiver indices and Abelianization from Jeffrey-Kirwan residues

Journal of High Energy Physics, 2019
In quiver quantum mechanics with 4 supercharges, supersymmetric ground states are known to be in one-to-one correspondence with Dolbeault cohomology classes on the moduli space of stable quiver representations.
Guillaume Beaujard, Swapnamay Mondal, Boris Pioline   +2 more
doaj   +1 more source

Exact results and Schur expansions in quiver Chern-Simons-matter theories

Journal of High Energy Physics, 2020
We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell’s integral, computing partition functions and checking dualities.
Leonardo Santilli, Miguel Tierz
doaj   +1 more source

Phases of five-dimensional supersymmetric gauge theories

Journal of High Energy Physics, 2021
Five-dimensional N $$ \mathcal{N} $$ = 1 theories with gauge group U(N), SU(N), USp(2N) and SO(N) are studied at large rank through localization on a large sphere.
Leonardo Santilli
doaj   +1 more source

On singularities of quiver moduli [PDF]

, 2009
Any moduli space of representations of a quiver (possibly with oriented cycles) has an embedding as a dense open subvariety into a moduli space of representations of a bipartite quiver having the same type of singularities.
Domokos, M.
core   +1 more source