scholarly journals Integral Ext groups between hook Weyl modules

2021 ◽  
Author(s):  
Δήμητρα-Διονυσία Στεργιοπούλου
Keyword(s):  

Υπολογίζουμε τις ομάδες ακέραιων επεκτάσεων μεταξύ Βάιλ προτύπων σχήματος χουκ σε βαθμούς 1 και 2 και το μέγιστο βαθμό όπου αυτές είναι μη μηδενικές.

2006 ◽  
Vol 304 (1) ◽  
pp. 510-542
Author(s):  
Upendra Kulkarni
Keyword(s):  

2018 ◽  
Vol 371 (2) ◽  
pp. 1271-1307 ◽  
Author(s):  
Jun Hu ◽  
Andrew Mathas
Keyword(s):  

Author(s):  
Angelo Bianchi ◽  
Samuel Chamberlin

We investigate the representations of the hyperalgebras associated to the map algebras [Formula: see text], where [Formula: see text] is any finite-dimensional complex simple Lie algebra and [Formula: see text] is any associative commutative unitary algebra with a multiplicatively closed basis. We consider the natural definition of the local and global Weyl modules, and the Weyl functor for these algebras. Under certain conditions, we prove that these modules satisfy certain universal properties, and we also give conditions for the local or global Weyl modules to be finite-dimensional or finitely generated, respectively.


2014 ◽  
Vol 2015 (15) ◽  
pp. 6470-6515 ◽  
Author(s):  
Vyjayanthi Chari ◽  
Bogdan Ion ◽  
Deniz Kus
Keyword(s):  

2019 ◽  
Vol 62 (1) ◽  
pp. 201-231 ◽  
Author(s):  
JAMES GABE ◽  
EFREN RUIZ

AbstractThe semigroups of unital extensions of separable C*-algebras come in two flavours: a strong and a weak version. By the unital Ext-groups, we mean the groups of invertible elements in these semigroups. We use the unital Ext-groups to obtain K-theoretic classification of both unital and non-unital extensions of C*-algebras, and in particular we obtain a complete K-theoretic classification of full extensions of UCT Kirchberg algebras by stable AF algebras.


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