Concept

Algebraic group

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A Generalized Picture of C-C Cross-Coupling

Matthew Wodrich, Michael Markus Busch

Transition metal catalyzed cross-coupling reactions occupy a privileged position in chemistry because of their ability to link myriad functional groups. The numerous variants of this reaction types (e.g., Suzuki, Kumada, Negishi, etc.) differ in the transm ...

American Chemical Society2017

Examples of algebraic groups of type G (2) having the same maximal tori

Ting-Yu Lee

Answering a question of A. Rapinchuk, we construct examples of non-isomorphic semisimple algebraic groups H (1) and H (2) of type G (2) having coherently equivalent systems of maximal k-tori. ...

Maik Nauka/Interperiodica/Springer2016

Cocycle growth for the Steinberg representation

Thibaut Dumont

This thesis investigates the growth of the natural cocycle introduced by Klingler for the Steinberg representation. When possible, we extend the framework of simple algebraic groups over a local field to arbitrary Euclidean buildings. In rank one, the grow ...

EPFL2016

Special Reductive Groups Over An Arbitrary Field

Mathieu Huruguen

A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we desc ...

Springer Birkhauser2016

Atum: Scalable Group Communication Using Volatile Groups

Rachid Guerraoui, Anne-Marie Kermarrec, Dragos-Adrian Seredinschi, Matej Pavlovic

This paper presents Atum, a group communication middleware for a large, dynamic, and hostile environment. At the heart of Atum lies the novel concept of volatile groups: small, dynamic groups of nodes, each executing a state machine replication protocol, o ...

ACM Press2016

Central Subalgebras Of The Centralizer Of A Nilpotent Element

Donna Testerman

Let G be a connected, semisimple algebraic group over a field k whose characteristic is very good for G. In a canonical manner, one associates to a nilpotent element X is an element of Lie(G) a parabolic subgroup P - in characteristic zero, P may be descri ...

Amer Mathematical Soc2016

Research Data Management (RDM) Strategy

The RDM Strategy template is inspired by SNSF template for NCCR RDM Strategy, but departs from it as it is mostly targeted to single research groups, even if it can be used for a consortium of groups. Divided in 5 parts related to the research data lifecyc ...

EPFL Library2016

The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition

Neil John Saunders

The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...

Taylor & Francis Inc2016

Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties

Tudor Ratiu

Motivated by the work of Kupershmidt (J. Nonlin. Math. Phys. 6 (1998), 222 -245) we discuss the occurrence of left symmetry in a generalized Virasoro algebra. The multiplication rule is defined, which is necessary and sufficient for this algebra to be quas ...

Taylor & Francis Ltd2016

Detecting Collaborative Dynamics Using Mobile Eye-Trackers

Pierre Dillenbourg, Kshitij Sharma, Guillaume Zufferey, Sébastien Cuendet, Bertrand Roland Schneider

: Prior work has successfully described how low and high-performing dyads of students differ in terms of their visual synchronization (e.g., Barron, 2000; Jermann, Mullins, Nuessli & Dillenbourg, 2011). But there is far less work analyzing the diversity of ...

2016