Publications related to Reductive group

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Introducing a preliminary Consists Selection in the Locomotive Assignment Problem

Michel Bierlaire, Francesco Piu, Prem Kumar

The Locomotive Assignment Problem (LAP) is a class of planning and scheduling problems solved by assigning a fleet of locomotives to a network of trains. In the planning versions of the LAP, the type of consist (a group of linked locomotives) assigned to e ...

Elsevier2015

L-2-Betti numbers and Plancherel measure

Henrik Densing Petersen, Alain Valette

We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...

Academic Press Inc Elsevier Science2014

Integrable G-strands on semisimple Lie groups

Tudor Ratiu, François Gay-Balmaz

The present paper derives systems of partial differential equations that admit a quadratic zero curvature representation for an arbitrary real semisimple Lie algebra. It also determines the general form of Hamilton's principles and Hamiltonians for these s ...

Iop Publishing Ltd2014

Knowledge Specialization in Ph.D. Student Groups

Fabiana Visentin, Annamaria Conti

Researchers have argued that specialization within groups yields productivity gains. We evaluate this statement with a focus on groups of Ph.D. students. Using an established technique in computer science called Latent Dirichlet Allocation, we construct a ...

Institute of Electrical and Electronics Engineers2014

Nanostructure Symmetry: Relevance for Physics and Computing

Marc-André Dupertuis, Daniel Oberli, Benjamin Gallinet, Sascha Dalessi

We review the research done in recent years in our group on the effects of nanostructure symmetry, and outline its relevance both for nanostructure physics and for computations of their electronic and optical properties. The exemples of C3v and C2v quantum ...

Amer Inst Physics2014

A Groupoid Approach to Luck's Amenability Conjecture

Henrik Densing Petersen

We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This provides a group-measure space theoretic solution to a conjecture of Luck s ...

Osaka Journal Of Mathematics2014

Relative amenability

Nicolas Monod

We introduce a relative fixed point property for subgroups of a locally compact group, which we call relative amenability. It is a priori weaker than amenability. We establish equivalent conditions, related among others to a problem studied by Reiter in 19 ...

European Mathematical Soc2014

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups

Anthony Várilly Alvarado

We show that Brauer classes of a locally solvable degree 4 del Pezzo surface X are vertical for some projection away from a plane g : X -> P-1, i.e., that every Brauer class is obtained by pullback from an element of Br k(P-1). As a consequence, we prove t ...

Academic Press Inc Elsevier Science2014

Reductive group

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Introducing a preliminary Consists Selection in the Locomotive Assignment Problem

Isogeometric mortar methods

L-2-Betti numbers and Plancherel measure

Integrable G-strands on semisimple Lie groups

Knowledge Specialization in Ph.D. Student Groups

Nanostructure Symmetry: Relevance for Physics and Computing

A Groupoid Approach to Luck's Amenability Conjecture

Relative amenability

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups

Methods and Apparatus for Data Security in Mobile Ad Hoc Networks

Nanostructure Symmetry: Relevance for Physics and Computing

L-2-Betti numbers and Plancherel measure

A Groupoid Approach to Luck's Amenability Conjecture

Methods and Apparatus for Data Security in Mobile Ad Hoc Networks

Introducing a preliminary Consists Selection in the Locomotive Assignment Problem

Isogeometric mortar methods

Integrable G-strands on semisimple Lie groups

Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups

Knowledge Specialization in Ph.D. Student Groups

Relative amenability