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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations;

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Codes And Modular Forms

is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules;

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Elements of the Representation Theory of the Jacobi Group

functions. The global theory is aimed at the correspondence between automorphic representations and Jacobi forms. This volume is thus a complement;

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Elements Of The Representation Theory Of Associative Algebras

-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large;

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Elements of the Representation Theory of Associative Algebras

-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large;

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Introduction to Number Theory

Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced;

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An Algebraic Introduction to K-Theory

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules;

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An Algebraic Introduction to K-Theory

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules;

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Algebra and Number Theory

in the section on Algebra centres on recent work on Quadratic Forms and Division Algebras though there are also papers on Modules of Witt vectors;

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Experimental Number Theory

main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The;

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Computational Methods for Representations of Groups and Algebras

special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie;

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Quadratic Irrationals

, the divisibility of class numbers by 16, F. Mertens' proof of Gauss's duplication theorem, and a theory of binary quadratic forms that departs;

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Modular Forms on Schiermonnikoog

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and;

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Arithmetic of Quadratic Forms

This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple;

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Elements of the Representation Theory of the Jacobi Group

After Pyatetski-Shapiro[PS1] and Satake [Sa1] introduced, independent of one another, an early form of the Jacobi Theory in 1969 (while not;

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Invariants of Quadratic Differential Forms

Originally published in 1908 as number nine in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a;

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A Course in Finite Group Representation Theory

of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for;

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Introduction to the Representation Theory of Algebras

of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors;

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Arithmetic Of Quadratic Forms

of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.;

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London Mathematical Society Lecture Note Series

forms that give rise to interconnections between number theory, algebra, algebraic geometry and topology. Topics discussed include Hilbert's;

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Representations of Solvable Groups

. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable;

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A Course in Arithmetic

functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year;

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Modular Representations of Finite Groups of Lie Type

in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal;

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Topics In Number Theory

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the;

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Algorithmic Algebra and Number Theory

problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained;

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History of the Theory of Numbers (Volume III) Quadratic and Higher Forms With A Chapter on the Class Number

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Linear Algebra

, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces;

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