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A lattice in more than two Kac–Moody groups is arithmetic

Publications associées (28)

Eigenvalue multiplicities of group elements in irreducible representations of simple linear algebraic groups

Let k be an algebraically closed field of arbitrary characteristic, let G be a simple simply connected linear algebraic group and let V be a rational irreducible tensor-indecomposable finite-dimensional kG-module. For an element g of G we denote by $V_{g}( ...

EPFL2022

Effect of Different Communication Affordances on the Emergence of Collaboration Strategies in an Online Multiplayer Game

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In a group, the collective dynamics is governed by the inter- actions between individuals, which can manifest differently depending on the available means of communication. In this paper, we compare 3 conditions of communication affordances (global chat, l ...

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Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

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Let G be a simple algebraic group over an algebraically closed field F of characteristic p >= h, the Coxeter number of G. We observe an easy 'recursion formula' for computing the Jantzen sum formula of a Weyl module with p-regular highest weight. We also d ...

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Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

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Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple. In this thesis, we develop new tech ...

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The recent discovery of an N2O-based synthesis of triazenes in our group has enabled the synthesis and investigation of 1-alkynyl triazenes. Early studies showed their potential for a functional group tolerant synthesis of 1-vinyl triazenes, which is furth ...

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Alkynes and nitriles are valuable building blocks in organic synthesis and also have multiple applications in chemical biology and materials science. Due to the high availability of tertiary alcohols, developing methods for their conversion into alkynes an ...

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Removing Algorithmic Discrimination (With Minimal Individual Error)

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We address for the first time the problem of correcting group discriminations within a score function, while minimizing the individual error. Each group is described by a probability density function on the set of profiles. We first solve the problem analy ...

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Lie groups as permutation groups: Ulam's problem in the nilpotent case

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Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate ...

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EPFL2022

A lattice in more than two Kac–Moody groups is arithmetic

Eigenvalue multiplicities of group elements in irreducible representations of simple linear algebraic groups

Effect of Different Communication Affordances on the Emergence of Collaboration Strategies in an Online Multiplayer Game

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Synthesis of new 1-Vinyl and 1-Alkynyl Triazenes

Exploring Photoredox-Catalyzed (Re)functionalizations with Core-Modified Benziodoxolones

Removing Algorithmic Discrimination (With Minimal Individual Error)

Lie groups as permutation groups: Ulam's problem in the nilpotent case

De novo developed small cyclic peptides that are orally available

Graph Chatbot

Eigenvalue multiplicities of group elements in irreducible representations of simple linear algebraic groups

Effect of Different Communication Affordances on the Emergence of Collaboration Strategies in an Online Multiplayer Game

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Synthesis of new 1-Vinyl and 1-Alkynyl Triazenes

Exploring Photoredox-Catalyzed (Re)functionalizations with Core-Modified Benziodoxolones

Removing Algorithmic Discrimination (With Minimal Individual Error)

Lie groups as permutation groups: Ulam's problem in the nilpotent case

De novo developed small cyclic peptides that are orally available

Daily Contributors of Tinnitus Loudness and Distress: An Ecological Momentary Assessment Study

Daily Contributors of Tinnitus Loudness and Distress: An Ecological Momentary Assessment Study