The size of infinite dimensional representations
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DOI: 10.1007/bfb0090118
Abstract: An infinite-dimensional representation π of a real reductive Lie group G can often be thought of as a function space on some manifold X. Although X is not uniquely defined by π, there are “geometric… read more here.
Keywords: size infinite; infinite dimensional; geometry; dimensional representations ... See more keywords
Using bi-dimensional representations to understand patterns in COVID-19 blood exam data
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DOI: 10.1016/j.imu.2021.100828
Abstract: Blood tests have an essential part in everyday medicine and are used by doctors in several diagnostic procedures. Still, this data is multivariate – and often some diseases, like COVID-19, could have different symptom manifestation… read more here.
Keywords: dimensional representations; understand patterns; medicine; representations understand ... See more keywords
On the variety of 1-dimensional representations of finite W-algebras in low rank
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DOI: 10.1016/j.jalgebra.2018.03.030
Abstract: Let $\mathfrak g$ be a simple Lie algebra over $\mathbb C$ and let $e \in \mathfrak g$ be nilpotent. We consider the finite $W$-algebra $U(\mathfrak g,e)$ associated to $e$ and the problem of determining the… read more here.
Keywords: low rank; variety; mathcal mathfrak; dimensional representations ... See more keywords
Three-dimensional representations of braid groups associated with some finite complex reflection groups
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DOI: 10.1142/s0129167x17501099
Abstract: We study the rigidity of three-dimensional representations of braid groups associated with finite primitive irreducible complex reflection groups in GL(3, ℂ). In many cases, we show the rigidity. For rigid representations, we give explicit forms… read more here.
Keywords: three dimensional; complex reflection; representations braid; dimensional representations ... See more keywords