scholarly journals On complexity of representations of quivers

2019 ◽  
Vol 357 (11-12) ◽  
pp. 841-845
Author(s):  
Victor G. Kac
Keyword(s):  
Representations Of Quivers

scholarly journals Projective representations of quivers

2002 ◽  
Vol 31 (2) ◽  
pp. 97-101 ◽  
Author(s):  
Sangwon Park
Keyword(s):  
Projective Representation ◽  
Representations Of Quivers ◽  
Direct Sum ◽  
Projective Representations

We prove thatP1 →f P2is a projective representation of a quiverQ=•→•if and only ifP1andP2are projective leftR-modules,fis an injection, andf (P 1)⊂P 2is a summand. Then, we generalize the result so that a representationM1 →f1  M2  →f2⋯→fn−2  Mn−1→fn−1  Mnof a quiverQ=•→•→•⋯•→•→•is projective representation if and only if eachMiis a projective leftR-module and the representation is a direct sum of projective representations.

scholarly journals Representations of quivers with free module of covariants

2004 ◽  
Vol 192 (1-3) ◽  
pp. 69-94 ◽  
Author(s):  
Carol Chang ◽  
Jerzy Weyman
Keyword(s):  
Free Module ◽  
Representations Of Quivers
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