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Generically free representations, I: large representations [PDF]
v3: some reorganization of sections; v2: very minor updates to the text to align it better with part ...
Garibaldi, Skip, Guralnick, Robert
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GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS [PDF]
We determine which faithful irreducible representations $V$ of a simple linear algebraic group $G$ are generically free for Lie($G$), i.e., which $V$ have an open subset consisting of vectors whose stabilizer in Lie($G$) is zero. This relies on bounds on $\dim V$ obtained in prior work (part I), which reduce the problem to a finite number of ...
Garibaldi, Skip, Guralnick, Robert M.
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Algebras with representable representations [PDF]
Just like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra $B$ by a Lie algebra~$X$ corresponds to a Lie algebra morphism $B\to \mathrm{Der}(X)$ from $B$ to the Lie algebra $\mathrm{Der}(X)$ of derivations on~$X$.
Van der Linden, Tim +1 more
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Practical Representation [PDF]
This chapter discusses recent attempts to clarify the notion of practical representation and its theoretical fruitfulness. The ultimate goal is not just to show that intellectualists are on good grounds when they appeal to practical representation in ...
Pavese, Carlotta
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Diffusion representations [PDF]
Diffusion Maps framework is a kernel based method for manifold learning and data analysis that defines diffusion similarities by imposing a Markovian process on the given dataset. Analysis by this process uncovers the intrinsic geometric structures in the data.
Salhov, Moshe +3 more
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Character representation [PDF]
This paper describes ISO standard character sets currently in use, the use of SGML entity sets, and the TEI writing system declaration.
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Abstract This paper examines the extent to which conditions for the ‘representative party government’ model of representation exist in the EU. It suggests that, although application of the model is obviously limited, there is some support for its relevance.
Thomassen, Jacques J.A. +1 more
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Representation growth and representation zeta functions of groups [PDF]
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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Frequent Representations [PDF]
A unitary representation \(T\) of a finite group \(G\) is called `frequent' if the dimension of the variety of all representations which are unitarily equivalent to \(T\) is maximal (among all unitary representations of \(G\) in the same finite-dimensional complex space). For example, the fundamental representation of \(G\) in the space of functions on
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Representation recovers information [PDF]
Early agreement within cognitive science on the topic of representation has now given way to a combination of positions. Some question the significance of representation in cognition.
Ballard +75 more
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