Tag Archives: unitary

“Advanced Fluid Dynamics” ed. by Hyoung Woo Oh

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"Advanced Fluid Dynamics" ed. by Hyoung Woo Oh
InTeOpP | 2012 | ISBN: 9535102702 9789535102700 | 281 pages | PDF | 18 MB
This book is intended to serve as a reference text for presenting a broad range of topics on fluid dynamics to advanced scientists and researchers.
The chapters have been contributed by the prominent specialists in the field of fluid dynamics cover experimental and numerical fluid dynamics, aeroacoustics, multiphase flow analysis, convective instability, combustion, and turbulence modeling.

“Advanced Fluid Dynamics” ed. by Hyoung Woo Oh
Contents
Preface
1. An Experimental and Computational Study of the Fluid Dynamics of Dense Cooling Air-Mists
2. Direct Numerical Simulations of Compressible Vortex Flow Problems
3. Fluid Dynamics of Gas – Solid Fluidized Beds
4. Fuel Jet in Cross Flow – Experimental Study of Spray Characteristics
5. Influence of Horizontal Temperature Gradients on Convective Instabilities with Geophysical Interest
6. Internal Flows Driven by Wall-Normal Injection
7. Modelling of Turbulent Premixed and Partially Premixed Combustion
8. Multiscale Window Interaction and Localized Nonlinear Hydrodynamic Stability Analysis
9. Stability Investigation of Combustion Chambers with LES
10. Turbulent Boundary Layer Models: Theory and Applications
11. Unitary Qubit Lattice Gas Representation of 2D and 3D Quantum Turbulence
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Mantras for Managers: The Dialogue with Yeti (Management for Professionals)

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Mantras for Managers: The Dialogue with Yeti (Management for Professionals) By N. K. Singh

2012 | 92 Pages | ISBN: 8132204689 | PDF | 4 MB

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Automorphic Representations of Low Rank Groups

Yuval Z. Flicker, "Automorphic Representations of Low Rank Groups"
English | 2006 | ISBN-10: 9812568034 | 500 Pages | PDF | 18 MB
The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations.

Simple relations on the Galois side reflect deep relations on the automorphic side, called "liftings". This book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E : F] = 2.

The book develops the technique of comparison of twisted and stabilized trace formulae and considers the "Fundamental Lemma" on orbital integrals of spherical functions. Comparison of trace formulae is simplified using "regular" functions and the "lifting" is stated and proved by means of character relations. This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, and a definition of packets for U(3), a proof of multiplicity one theorem and rigidity theorem for SL(2) and for U(3), a determination of the self-contragredient representations of PGL(3) and those on GL(3, E) fixed by transpose-inverse-bar. In particular, the multiplicity one theorem is new and recent. There are applications to construction of Galois representations by explicit decomposition of the cohomology of Shimura varieties of U(3) using Deligne's (proven) conjecture on the fixed point formula.

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