scholarly journals Support varieties and representation type of self-injective algebras

2011 ◽  
Vol 13 (2) ◽  
pp. 197-215 ◽  
Author(s):  
Jörg Feldvoss ◽  
Sarah Witherspoon
Keyword(s):  
Representation Type ◽  
Support Varieties

scholarly journals Support Varieties and Representation Type of Small Quantum Groups

2009 ◽  
Vol 2010 (7) ◽  
pp. 1346-1362 ◽  
Author(s):  
Jörg Feldvoss ◽  
Sarah Witherspoon
Keyword(s):  
Quantum Groups ◽  
Representation Type ◽  
Small Quantum ◽  
Support Varieties

scholarly journals Support varieties for finite tensor categories: Complexity, realization, and connectedness

2021 ◽  
Vol 225 (9) ◽  
pp. 106705
Author(s):  
Petter Andreas Bergh ◽  
Julia Yael Plavnik ◽  
Sarah Witherspoon
Keyword(s):  
Tensor Categories ◽  
Support Varieties

CLOSE NEIGHBORS IN THE QUIVER OF TILTING MODULES

2008 ◽  
Vol 07 (03) ◽  
pp. 379-392
Author(s):  
DIETER HAPPEL
Keyword(s):  
Representation Type ◽  
Tilting Module ◽  
Tilting Modules ◽  
Hereditary Algebra ◽  
Simple Modules ◽  
Finite Dimensional ◽  
Wild Representation Type ◽  
Local Properties

For a finite dimensional hereditary algebra Λ local properties of the quiver [Formula: see text] of tilting modules are investigated. The existence of special neighbors of a given tilting module is shown. If Λ has more than 3 simple modules it is shown as an application that Λ is of wild representation type if and only if [Formula: see text] is a subquiver of [Formula: see text].

REPRESENTATION TYPE OF   H1 

2005 ◽  
Vol 57 (3) ◽  
pp. 319-338
Author(s):  
Y. Drozd
Keyword(s):  
Representation Type

ON THE RIESZ REPRESENTATION THEOREM IN TOPOLOGICAL VECTOR SPACES

2000 ◽  
Vol 36 (3-4) ◽  
pp. 347-352
Author(s):  
M. A. Alghamdi ◽  
L. A. Khan ◽  
H. A. S. Abujabal
Keyword(s):  
Representation Theorem ◽  
Type Theorem ◽  
Representation Type ◽  
Vector Spaces ◽  
Riesz Representation Theorem ◽  
Topological Vector Spaces ◽  
Riesz Representation

I this paper we establish a Riesz representation type theorem which characterizes the dual of the space C rc (X,E)endowed with the countable-ope topologyi the case of E ot ecessarilya locallyconvex TVS.

scholarly journals Fields of Definition for Representations of Associative Algebras

2018 ◽  
Vol 62 (1) ◽  
pp. 291-304
Author(s):  
Dave Benson ◽  
Zinovy Reichstein
Keyword(s):  
Finite Extension ◽  
Representation Type ◽  
Essential Dimension ◽  
Extension Field ◽  
Associative Algebras ◽  
Separable Extension ◽  
Finite Representation ◽  
Field Of Definition ◽  
Finite Dimensional ◽  
A Finite Group

AbstractWe examine situations, where representations of a finite-dimensionalF-algebraAdefined over a separable extension fieldK/F, have a unique minimal field of definition. Here the base fieldFis assumed to be a field of dimension ≼1. In particular,Fcould be a finite field ork(t) ork((t)), wherekis algebraically closed. We show that a unique minimal field of definition exists if (a)K/Fis an algebraic extension or (b)Ais of finite representation type. Moreover, in these situations the minimal field of definition is a finite extension ofF. This is not the case ifAis of infinite representation type orFfails to be of dimension ≼1. As a consequence, we compute the essential dimension of the functor of representations of a finite group, generalizing a theorem of Karpenko, Pevtsova and the second author.

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