scholarly journals Entropy-bounded representation of point grids

2014 ◽  
Vol 47 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Arash Farzan ◽  
Travis Gagie ◽  
Gonzalo Navarro
Keyword(s):  
Bounded Representation

A Note on the Representation Type of Pointed Irreducible Coalgebras and Unipotent Algebras

1977 ◽  
Vol 29 (1) ◽  
pp. 220-223
Author(s):  
David Trushin
Keyword(s):  
Finite Sequence ◽  
Representation Type ◽  
Finite Dimensional ◽  
Bounded Representation ◽  
Divided Powers

In this paper the representation type of the class of pointed irreducible coalgebras is studied. We refer the reader to [4] for the basic definitions. A coalgebra is of bounded representation type if there is a bound on the dimension of finite dimensional indecomposable comodules. In Section 1, we show that the representation type is dependent upon the size of the space of primitives. Indeed, a pointed irreducible coalgebra is of bounded type if and only if it is finite dimensional and the space of primitives is onedimensional, i.e. if and only if it is a coalgebra spanned by a finite sequence of divided powers.

scholarly journals The class of(1,3)-groups with homocyclic regulator quotient of exponentp4has bounded representation type

2014 ◽  
Vol 400 ◽  
pp. 43-55 ◽  
Author(s):  
David M. Arnold ◽  
Adolf Mader ◽  
Otto Mutzbauer ◽  
Ebru Solak
Keyword(s):  
Representation Type ◽  
Bounded Representation

THE CLASS OF (2, 2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT  HAS BOUNDED REPRESENTATION TYPE

2014 ◽  
Vol 99 (1) ◽  
pp. 12-29
Author(s):  
DAVID M. ARNOLD ◽  
ADOLF MADER ◽  
OTTO MUTZBAUER ◽  
EBRU SOLAK
Keyword(s):  
Representation Type ◽  
Bounded Representation ◽  
Decomposable Groups

The class of almost completely decomposable groups with a critical typeset of type$(2,2)$and a homocyclic regulator quotient of exponent $p^{3}$is shown to be of bounded representation type. There are only$16$isomorphism at$p$types of indecomposables, all of rank $8$or lower.

Simple motion systems and Banach spaces associated to uniformly bounded representations

1999 ◽  
Vol 127 (1) ◽  
pp. 133-147
Author(s):  
MATTHIAS MAYER ◽  
CHRISTIAN SALLER
Keyword(s):  
Convex Hull ◽  
Locally Compact Group ◽  
Irreducible Representations ◽  
Minkowski Functional ◽  
Linear Hull ◽  
Locally Compact ◽  
Simple Motion ◽  
Motion System ◽  
Bounded Representation ◽  
Uniformly Bounded

Given a uniformly bounded representation of a locally compact group, we consider the closed circled convex hull K of the orbit of a vector. We call K a simple motion system (SMS) and endow its linear hull with the Minkowski functional of K. The representation theory on these ‘SMS-spaces’ is discussed, in particular for C0-representations, for irreducible representations of connected groups and for integrable representations. As an application we give a criterion for the decomposibility of representations.

scholarly journals The similarity problem for tensor products of certain C*-algebras

2004 ◽  
Vol 70 (3) ◽  
pp. 385-389 ◽  
Author(s):  
Florin Pop
Keyword(s):  
Tensor Product ◽  
Tensor Products ◽  
C Algebras ◽  
Similarity Problem ◽  
Bounded Representation

We prove that every bounded representation of the tensor product of two C*-algebras, one of which is nuclear and contains matrices of any order, is similar to a *-representation.

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