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Journals and Conferences
We prove tha t each real semisimple Lie algebra g has a Q-form go, such that every real representation of go can be realized over Q. This was previously proved by M. S. Raghunathan (and rediscovered by P. Eberlein) in the special case where g is compact.
This work reports the effects of the bioflavinoids genistein and daidzein on lipid bilayers as determined by volume measurements, X-ray scattering, and molecular dynamics simulations. The experimental and simulated total molecular volumes were found to be in outstanding agreement with each other before the addition of genistein and daidzein and also after… (More)
This is a short survey of the progress on the congruence subgroup problem since the sixties when the first major results on the integral unimodular groups appeared. It is aimed at the non-specialists and avoids technical details.
Recent developments in global statistical methodologies have advanced the analysis of large collections of protein sequences for coevolutionary information. Coevolution between amino acids in a protein arises from compensatory mutations that are needed to maintain the stability or function of a protein over the course of evolution. This gives rise to… (More)
Molecular dynamics simulations with coarse-grained or simplified Hamiltonians have proven to be an effective means of capturing the functionally important long-time and large-length scale motions of proteins and RNAs. Originally developed in the context of protein folding, structure-based models (SBMs) have since been extended to probe a diverse range of… (More)
Links between mathematicians from India and France are old, strong and fruitful. We present a short survey of these relations. We start with a brief overview of the mathematical heritage of India. The stay of A. Weil as a Professor in Aligarh Muslim University from 1930 to 1931 was the first outstanding event in the Franco-Indian relationship. A few years… (More)
We give a new proof of Bott's result, that the loop space of a compact, simply connected, simple Lie group has a cellular decomposition of a certain type. In particular, one obtains the Poincaré polynomial for the loop space and Bott periodicity for the unitary group.
We study structure properties of reductive group schemes defined over a local ring and splitting over its étale quadratic extension. As an application we prove Serre–Grothendieck conjecture on rationally trivial torsors over a local regular ring containing a field of characteristic 0 for group schemes of type F4 with trivial g3 invariant.
Measure rigidity for the action of maximal horospherical subgroups on homogeneous spaces over a field of positive characteristic is proved. In the case when the lattice is uniform we prove the action of any horospherical subgroup is uniquely ergodic.