scholarly journals Local Weyl modules for equivariant map algebras with free abelian group actions

2012 ◽  
Vol 350 (1) ◽  
pp. 386-404 ◽  
Author(s):  
Ghislain Fourier ◽  
Tanusree Khandai ◽  
Deniz Kus ◽  
Alistair Savage
Keyword(s):  
Abelian Group ◽  
Free Abelian Group ◽  
Group Actions ◽  
Weyl Modules ◽  
Equivariant Map ◽  
Abelian Group Actions

scholarly journals Free abelian group actions on normal projective varieties: submaximal dynamical rank case

2020 ◽  
pp. 1-17
Author(s):  
Fei Hu ◽  
Sichen Li
Keyword(s):  
Abelian Group ◽  
Projective Variety ◽  
Free Abelian Group ◽  
Group Actions ◽  
Maximal Rank ◽  
Positive Entropy ◽  
Projective Varieties ◽  
Group Of Automorphisms ◽  
Abelian Group Actions ◽  
De Qi

Abstract Let X be a normal projective variety of dimension n and G an abelian group of automorphisms such that all elements of $G\setminus \{\operatorname {id}\}$ are of positive entropy. Dinh and Sibony showed that G is actually free abelian of rank $\le n - 1$ . The maximal rank case has been well understood by De-Qi Zhang. We aim to characterize the pair $(X, G)$ such that $\operatorname {rank} G = n - 2$ .

scholarly journals On abelian group actions with TNI-centralizers

2019 ◽  
Vol 47 (7) ◽  
pp. 3003-3006
Author(s):  
Gülin Ercan ◽  
İsmail Ş. Güloğlu
Keyword(s):  
Abelian Group ◽  
Group Actions ◽  
Abelian Group Actions
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