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Book
In the Tradition of Thurston II
Authors: --- ---
ISBN: 9783030975609 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer

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Keywords

Geometria --- Teoria de grups --- Thurston, William P., 1946-2012 --- Substitucions (Matemàtica) --- Àlgebra --- Anells de grup --- Automorfismes --- Categories (Matemàtica) --- Cristal·lografia matemàtica --- Endomorfismes (Teoria de grups) --- Esquemes de grups (Matemàtica) --- Grupoides --- Grups abelians --- Grups algebraics diferencials --- Grups algebraics lineals --- Grups continus --- Grups de permutacions --- Grups de transformacions --- Grups discontinus --- Grups d'homotopia --- Grups espacials --- Grups finits --- Grups fonamentals (Matemàtica) --- Grups infinits --- Grups modulars --- Grups ordenats --- Grups quàntics --- Grups resolubles --- Jocs d'estratègia (Matemàtica) --- Representacions de grups --- Semigrups --- Simetria (Matemàtica) --- Subgrups maximals --- Teoria dels reticles --- Teoria geomètrica de grups --- Matemàtica --- Congruències (Geometria) --- Dibuix lineal --- Envolupants (Geometria) --- Esfera --- Geometria algebraica --- Geometria computacional --- Geometria conforme --- Geometria convexa --- Geometria de l'espai --- Geometria diferencial --- Geometria euclidiana --- Porismes --- Programació geomètrica --- Ràtio i proporció --- Similitud (Geometria) --- Teorema de Pitàgores --- Transformacions (Matemàtica) --- Trigonometria --- Geometria en l'art --- Thurston, William P., --- Geometry. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Mathematics --- Euclid's Elements --- Thurston, W. P.


Book
In the tradition of Thurston II : geometry and groups
Authors: ---
ISBN: 3030975592 3030975606 Year: 2022 Publisher: Cham, Switzerland : Springer,

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Book
Analysis at large : dedicated to the life and work of Jean Bourgain
Authors: --- ---
ISBN: 3031053303 3031053311 Year: 2022 Publisher: Cham, Switzerland : Springer,


Book
Representation Theory of Finite Group Extensions : Clifford Theory, Mackey Obstruction, and the Orbit Method
Authors: --- ---
ISBN: 3031138732 3031138724 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 N G H 1 of finite groups, describe the irreducible representations of G by means of the structure of the group extension. This problem has attracted many mathematicians, including I. Schur, A.H. Clifford, and G. Mackey and, more recently, M. Isaacs, B. Huppert, Y.G. Berkovich & E.M. Zhmud, and J.M.G. Fell & R.S. Doran. The main topics are, on the one hand, Clifford Theory and the Little Group Method (of Mackey and Wigner) for induced representations, and, on the other hand, Kirillov’s Orbit Method (for step-2 nilpotent groups of odd order) which establishes a natural and powerful correspondence between Lie rings and nilpotent groups. As an application, a detailed description is given of the representation theory of the alternating groups, of metacyclic, quaternionic, dihedral groups, and of the (finite) Heisenberg group. The Little Group Method may be applied if and only if a suitable unitary 2-cocycle (the Mackey obstruction) is trivial. To overcome this obstacle, (unitary) projective representations are introduced and corresponding Mackey and Clifford theories are developed. The commutant of an induced representation and the relative Hecke algebra is also examined. Finally, there is a comprehensive exposition of the theory of projective representations for finite Abelian groups which is applied to obtain a complete description of the irreducible representations of finite metabelian groups of odd order.


Book
Combinatorial and additive number theory IV : CANT, New York, USA, 2019 and 2020
Authors: ---
ISBN: 3030679969 3030679950 Year: 2021 Publisher: Cham, Switzerland : Springer,

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This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Keywords

Number theory. --- Discrete mathematics. --- Group theory. --- Number Theory. --- Discrete Mathematics. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Number study --- Numbers, Theory of --- Combinatorial number theory --- Combinatorial analysis --- Number theory --- Teoria de nombres --- Matemàtica discreta --- Teoria de grups --- Substitucions (Matemàtica) --- Àlgebra --- Anells de grup --- Automorfismes --- Categories (Matemàtica) --- Cristal·lografia matemàtica --- Endomorfismes (Teoria de grups) --- Esquemes de grups (Matemàtica) --- Grupoides --- Grups abelians --- Grups algebraics diferencials --- Grups algebraics lineals --- Grups continus --- Grups de permutacions --- Grups de transformacions --- Grups discontinus --- Grups d'homotopia --- Grups espacials --- Grups finits --- Grups fonamentals (Matemàtica) --- Grups infinits --- Grups modulars --- Grups ordenats --- Grups quàntics --- Grups resolubles --- Jocs d'estratègia (Matemàtica) --- Representacions de grups --- Semigrups --- Simetria (Matemàtica) --- Subgrups maximals --- Teoria dels reticles --- Teoria geomètrica de grups --- Matemàtica computacional --- Processament de dades (Matemàtica) --- Teoria de la computació --- Teoria dels nombres --- Anàlisi diofàntica --- Arrels de la unitat --- Congruències i residus --- Conjectura de Catalan --- Darrer teorema de Fermat --- Formes automorfes --- Formes quadràtiques --- Fórmula de traça de Selberg --- Funcions aritmètiques --- Funcions L --- Funcions modulars --- Funcions recursives --- Funcions zeta --- Geometria algebraica aritmètica --- Geometria de nombres --- Lleis de reciprocitat --- Nombres de Fermat --- Nombres ordinals --- Nombres p-àdics --- Nombres transfinits --- Numeració --- Particions (Matemàtica) --- Quadrats màgics --- Sedàs (Matemàtica) --- Teorema de Fermat --- Teorema de Gödel --- Teoria algebraica de nombres --- Teoria de Galois --- Cossos algebraics

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