The homotopy type and homotopy groups of some spectra TAFGU of topological automorphic forms associated to a unitary similitude group GU of type (1, 1) are explicitly described in quasi-split cases. The spectrum TAFGU is shown to be closely related to the spectrum TMF in these cases, and homotopy groups of some of these spectra are explicitly computed.

Abstract Up to now, similitude methods have been used in order overcome the typical drawbacks of experimental testing and numerical simulations by reconstructing full-scale model behavior from that scaled model. The novelty this work is application theory not as a tool for predicting prototype dynamic response, but supporting, eventually validating, measurements polluted noise. Two Aluminium Fo...

We classify the cosemisimple Hopf algebras whose corepresentation semi-ring is isomorphic to that of GL(2). This leads us to define a new family of Hopf algebras which generalize the quantum similitude group of a non-degenerate bilinear form. A detailed study of these Hopf algebras gives us an isomorphic classification and the description of their corepresentation categories.

The goal of this research is to determine how spectral analysis of pressure fluctuations can be used as a diagnostic and design tool for both bubbling fluidized beds (BFB) and circulating fluidized beds (CFB). Static pressure fluctuations are measured from two BFB models, two CFB models, and two Pyropower CFB boilers located at the ISU power plant/cogeneration facility. Analyzing the fluctuatio...