scholarly journals On the Number of Absolutely Indecomposable Representations of a Quiver

1999 ◽  
Vol 221 (1) ◽  
pp. 29-49 ◽  
Author(s):  
Bert Sevenhant ◽  
Michel Van Den Bergh
Keyword(s):  
Indecomposable Representations

scholarly journals Kac Polynomials for Canonical Algebras

2017 ◽  
Vol 2019 (13) ◽  
pp. 3981-4003
Author(s):  
Pierre-Guy Plamondon ◽  
Olivier Schiffmann
Keyword(s):  
Finite Field ◽  
Dimension Vector ◽  
Indecomposable Representations ◽  
Moduli Stacks ◽  
Fixed Dimension ◽  
Canonical Algebra

Abstract We prove that the number of geometrically indecomposable representations of fixed dimension vector $\mathbf{d}$ of a canonical algebra $C$ defined over a finite field $\mathbb{F}_q$ is given by a polynomial in $q$ (depending on $C$ and $\mathbf{d}$). We prove a similar result for squid algebras. Finally, we express the volume of the moduli stacks of representations of these algebras of a fixed dimension vector in terms of the corresponding Kac polynomials.

On representations of graphs of type A

1992 ◽  
Vol 439 (1907) ◽  
pp. 687-690
Keyword(s):  
Finite Number ◽  
Type A ◽  
Indecomposable Representations

We investigate the number of orbits in a variety Λ v associated to Dynkin graphs of type A n as defined by G. Lusztig. For n < 4, we show that there is only a finite number of indecomposable representations in Λ v up to isomorphism. This implies that Λ v consists of finitely many orbits for any V . For each n > 4, we show that there exist V for which Λ v contains infinitely many orbits.

scholarly journals Indecomposable representations

1961 ◽  
Vol 5 (2) ◽  
pp. 314-323 ◽  
Author(s):  
A. Heller ◽  
I. Reiner
Keyword(s):  
Indecomposable Representations

Indecomposable representations of the algebra su(2,1)

1980 ◽  
Vol 4 (5) ◽  
pp. 367-372 ◽  
Author(s):  
Yu. F. Smirnov ◽  
Bruno Gruber
Keyword(s):  
Indecomposable Representations
Sign in / Sign up

Export Citation Format

Share Document