The augmented tridiagonal algebra

金沢大学理工研究域数物科学系Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra Tq. This is an infinite-dimensional associative C-algebra with 1. We classify the finite-dimensional irreducible representations of Tq.All such representations are explicitly constructed via embeddings of Tq into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs over C are classified in the case where q is not a root of unity. © 2010 Faculty of Mathematics, Kyushu University

Matrix-assisted laser desorption ionization hydrogen/deuterium exchange studies to probe peptide conformational changes

AbstractHydrogen/deuterium (H/D) exchange chemistry monitored by matrix-assisted laser desorption ionization time-of-flight (MALDI-TOF) mass spectrometry is used to study solution phase conformational changes of bradykinin, α-melanocyte stimulating hormone, and melittin as water is added to methanol-d4, acetonitrile, and isopropanol-d8 solutions. The results are interpreted in terms of a preference for the peptides to acquire more compact conformations in organic solvents as compared to the random conformations. Our interpretation is supported by circular dichroism spectra of the peptides in the same solvent systems and by previously published structural data for the peptides. These results demonstrate the utility of MALDI-TOF as a method to monitor the H/D exchange chemistry of peptides and investigations of solution-phase conformations of biomolecules