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# π Arithmetical Investigations: Representation Theory, Orthogonal Polynomials, and Quantum Interpolations by Shai M. J. Haran (eds.) β free pdf

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In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The *p*-adic numbers contain the *p*-adic integers *Z _{p}*which are the inverse limit of the finite rings

- Series:
**Lecture Notes in Mathematics 1941** - Author:
**Shai M. J. Haran (eds.)** - Year:
**2008** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**3540783784,978-3-540-78378-7**

- File size:
**2 533 247** - Format:
**pdf**

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In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zpwhich are the inverse limit of the finite rings Z/pn. This gives rise to a...

This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory ...

Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, it has been one of the great tools in the study and classification of finite groups. The theory contains some particularly beautiful resul...

This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hec...

One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has long been known to be connected to combinatorics, representation theory, and other branches of mathematics. Written by perhaps the most famous aut...

Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation...

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantu...

This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their as...

This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite...

The importance of justice cannot be overstated. As one author has put it, "A better understanding of how justice concerns develop and function in people's lives should enable us to plan more effectively for institutional and other social change to deal wi...

This book represents a compendium of the twenty most useful far-infrared (or submillimeter) lasers. In the case of each laser described here, we have been fortunate to have the author who is the pioneer and acknowledged authority describe the principles o...

viii The growing use of NTD silicon outside the U. S. A. motivated an interest in having the next NTD conference in Europe. Therefore, the Third International Conference on Neutron Transmutation-Doped Silicon was organized by Jens Guldberg and held in Cop...

The mammalian central nervous system is a remarkable structure which has attracted many new investigators, as evidenced by the dramatic increase in scientific publications dealing with neurobiology. Every day basic scientists conduct new and exciting expe...

This book focuses on neighborhoods and the people living in them. It describes differences among neighborhoods in terms of their social and institutional structure, attitudes of the residents, quality of life, and the characteristics of the residents. The...

At the present time there are renewed global efforts to control the major tropical infections and to stem the tide of malnutrition, the two serious, often intertwined, problems that contribute to much of the morbidity and mortality in underΒ privileged po...

Profound changes were taking place in American society during the period of the 1960s and 1970s when legislation for the National Foundation for the Arts and the Humanities was enacted and the agencies went into operation. It was a period of soul-searchin...

I see a man's life is a tedious one. Cymbeline, Act III, Sc. 6. It is well known that the best way to learn a subject is to teach it! Along the same lines one might also say that a pleasant way of learning a subject and at the same time getting to know qu...