Some remarks on reflection functors

1981 ◽  
pp. 211-221 ◽  
Author(s):  
Nikolaos Marmaridis
Keyword(s):  
Reflection Functors

Reflection functors

1980 ◽  
pp. 382-395 ◽  
Author(s):  
Nikolaos Marmaridis
Keyword(s):  
Reflection Functors

scholarly journals Peak reductions and waist reflection functors

1991 ◽  
Vol 137 (2) ◽  
pp. 115-144 ◽  
Author(s):  
Daniel Simson
Keyword(s):  
Reflection Functors

scholarly journals Generalised BGP Reflection Functors via the Grothendieck Construction

2019 ◽  
Author(s):  
Tobias Dyckerhoff ◽  
Gustavo Jasso ◽  
Tashi Walde
Keyword(s):  
Grothendieck Construction ◽  
Reflection Functors

Abstract Inspired by work of Ladkani and Groth–Šťovíček, we explain how to construct generalisations of the classical reflection functors of Bernšteĭn, Gel′fand, and Ponomarev by means of the Grothendieck construction.

C-RINGS, COPRODUCTS, AND REFLECTION FUNCTORS

2013 ◽  
Vol 13 (01) ◽  
pp. 1350071
Author(s):  
EDWARD L. GREEN ◽  
NICHOLAS A. LOEHR ◽  
ALLEN N. PELLEY
Keyword(s):  
Commutative Ring ◽  
Full Subcategory ◽  
Path Algebra ◽  
Ring Homomorphisms ◽  
Left And Right ◽  
Category Of Modules ◽  
Reflection Functors

The paper begins with a detailed study of the category of modules over two different rings using a coproduct construction. If C is a commutative ring and R and S are rings together with ring homomorphisms from C to R and C to S, then we show that the category of C-modules that are also left R-modules and right S-modules is equivalent to the category of left modules over the coproduct of R and S op in an appropriate category. Letting K denote a field, we apply this to show that the category of K-representations of a quiver that is reflection equivalent to a path algebra KΓ is equivalent to a full subcategory of left and right K-representations of KΓ.

scholarly journals Hall Algebras and Quantum Symmetric Pairs II: Reflection Functors

2021 ◽  
Vol 381 (3) ◽  
pp. 799-855
Author(s):  
Ming Lu ◽  
Weiqiang Wang
Keyword(s):  
Hall Algebras ◽  
Reflection Functors
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