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Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2016.105
Abstract: We describe (infinite-dimensional) irreducible representations of the crossed product C $^{\ast }$ -algebra associated with a topological dynamical system (based on $\mathbb{Z}$ ) and we show that their restrictions to the underlying $\ell ^{1}$ -Banach…
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Keywords:
dynamical system;
irreducible representations;
ast algebra;
algebra associated ... See more keywords
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Published in 2023 at "Experimental Mathematics"
DOI: 10.1080/10586458.2023.2209749
Abstract: . We obtain new calculations of the top weight rational cohomology of the moduli spaces M 2 ,n , equivalently the rational homology of the tropical moduli spaces ∆ 2 ,n , as a representation…
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Keywords:
compactified configurations;
irreducible representations;
configurations graphs;
homology ... See more keywords
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Published in 2017 at "International Journal of Mathematics"
DOI: 10.1142/s0129167x17500021
Abstract: In this paper, we study the finite representation theory of the map Lie conformal algebra G ⊗A, where G is a finite simple Lie conformal algebra and A is a commutative associative algebra with unity…
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Keywords:
conformal algebras;
finite irreducible;
irreducible representations;
representations map ... See more keywords
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Published in 2018 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2018-0004
Abstract: We prove that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C). For hyperbolic integer homology spheres this comes with the definition, and…
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Keywords:
homology spheres;
irreducible representations;
admit irreducible;
spheres admit ... See more keywords