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most citedKac-Moody groups and cluster algebras

177 citations

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math.RT2018★ 1 cited

Interval Structures, Hecke Algebras, and Krammer's Representations for the Complex Braid Groups B(e,e,n)

Georges Neaime

We define geodesic normal forms for the general series of complex reflection groups G(de,e,n). This requires the elaboration of a combinatorial technique in order to determine mini…

math.RT2018★ 16 cited

Rigid modules and Schur roots

Christof Geiß, Bernard Leclerc, Jan Schröer

Let be a symmetrizable generalized Cartan matrix with symmetrizer and orientation . In previous work we associated an algebra to this data, such that the locally fre…

math.FA2018

Majorization, Interpolation and noncommutative Khintchine inequalities

Léonard Cadilhac

Let and . We give a characterization of quasi-Banach interpolation spaces for the couple in terms of two monotonicity prope…

math.AG2018

Some Differential Equations for the Riemann -Function on Jacobians

Robert Wilms

We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the…

math.GT2018★ 1 cited

Lower central series, surface braid groups, surjections and permutations

Paolo Bellingeri, Daciberg Lima Gonçalves, John Guaschi

Generalising previous results on classical braid groups by Artin and Lin, we determine the values of m, n N for which there exists a surjection between the n-and m-string bra…

stat.ML2018★ 9 cited

Regularized Maximum Likelihood Estimation and Feature Selection in Mixtures-of-Experts Models

Faicel Chamroukhi, Bao-Tuyen Huynh

Mixture of Experts (MoE) are successful models for modeling heterogeneous data in many statistical learning problems including regression, clustering and classification. Generally…