Thema Gruppen und Gruppentheorie – alle Bücher

Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
An Invitation to Alexandrov Geometry: CAT(0) Spaces

Lecture Notes in Mathematics - Band 2395

This volume discusses CAT(0) spaces -- metric spaces with nonpositive curvature in the sense of Alexandrov -- which may be viewed as a non-linear generalization of Hilbert spaces. The book showcases the b…

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Ali Baklouti, Hidenori Fujiwara, Jean Ludwig
Representation Theory and C*-algebras

Representation Theory and C*-algebrasis devoted to the representation theory of solvable Lie groups and the associated non-commutative harmonic analysis including the study of C*-algebras. It contains ful…

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Cédric Bonnafé
Representations of SL2(Fq)

Algebra and Applications - Band 34

Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and pe…

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Alexandru Buium, Adrian Vasiu
Delta-Invariant Theory for Hecke Correspondences

Lecture Notes in Mathematics - Band 2396

This book provides an introduction to the new field of δ-geometry and its applications to the construction of certain quotient spaces that cannot be approached within usual algebraic geometry, specificall…

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Ferran Cedó, Leandro Vendramin
Groups, Radical Rings, and the Yang-Baxter Equation

This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang-Baxter equation and their deep connections with skew braces. In recent decades, set-theoretic solutions …

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Manfred Einsiedler, Thomas Ward
Unitary Representations and Unitary Duals

Graduate Texts in Mathematics - Band 308

This graduate textbook introduces the unitary representation theory of groups, emphasizing applications in fields like dynamical systems.It begins with the general theory and motivation, then explores key…

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Karin Erdmann, Mark Wildon
Einführung in Lie-Algebren

Lie-Gruppen und Lie-Algebren sind für viele Bereiche der Mathematik und der theoretischen Physik von grundlegender Bedeutung geworden, wobei Lie-Algebren auch als eigenständige zentrale Forschungsobjekte …

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Yves Félix, Steve Halperin
Lie Models for Spaces

This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-si…

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Claus Hertling, Khadija Larabi
Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Lecture Notes in Mathematics - Band 2398

This monograph presents a structured and conceptually unified study of upper triangular integer matrices and the rich family of structures they induce. Central objects include unimodular bilinear lattices…

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Marianne Kaurin,
Irgendwo ist immer Süden

In den Sommerferien verreisen alle ins Ausland. Nur Ina bleibt zu Hause - dabei wünscht sie sich so sehr, sie hätte auch spannende Urlaubspläne. Und plötzlich hört sie sich vor der Klasse sagen, sie würde…

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Stefan Kühnlein
Algebra und Zahlentheorie

Beginnend mit einer ausführlichen Diskussion der Primfaktorzerlegung natürlicher Zahlen werden die grundlegenden algebraischen Strukturen, also Gruppen, Ringe und Körper, eingeführt und anhand von Beispie…

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Gregory T. Lee
Group Identities on Units and Symmetric Units of Group Rings

Algebra and Applications - Band 33

This book presents the results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.…

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Ian G. Macdonald, Anne-Marie Aubert
Spherical Functions on a Group of p-adic Type

Lecture Notes in Mathematics - Band 2392

This is a new, updated edition of a foundational text on the representation theory of p-adic groups. The book develops the theory of spherical functions for reductive groups defined over nonarchimedean lo…

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Dorina Mitrea, Irina Mitrea, Marius Mitrea, Joel H. Shapiro
Fredholm Theory in Topological Vector Spaces

Springer Monographs in Mathematics

This book aims to investigate how Riesz and Fredholm operator theories extend and adapt within the framework of topological vector spaces. At its core, this book seeks to generalize classical operator the…

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Mario Petrich, Norman R. Reilly
Completely Regular Semigroup Varieties

Synthesis Lectures on Mathematics & Statistics

This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák's theorem to obtain detailed descriptions of various kerne…

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Lucien Sina
Lineare Algebra und Analytische Geometrie

Dieses Lehrbuch bietet eine systematische Einführung in die Lineare Algebra und Analytische Geometrie auf universitärem Niveau. Schritt für Schritt werden zentrale Themen wie Vektorräume, lineare Abbildun…

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Lucien Sina
Lineare Algebra und Analytische Geometrie

Dieses Lehrbuch bietet eine systematische Einführung in die Lineare Algebra und Analytische Geometrie auf universitärem Niveau. Schritt für Schritt werden zentrale Themen wie Vektorräume, lineare Abbildun…

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Manoranjan Kumar Singh
Applied Fuzzy Mathematics

Forum for Interdisciplinary Mathematics

This comprehensive introductory textbook is designed for undergraduate mathematics students who are interested in gaining an in-depth understanding of fuzzy mathematics and its applications. The book cove…

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Fabrizio Tafuri, Carmine Antonio Perroni, Giulio de Filippis
Understanding Quantum Many-Body Theory

UNITEXT for Physics

This textbook offers a rigorous, self-contained introduction to quantum many-body theory, developed from lecture notes at the University of Naples "Federico II." Worked examples, solved exercise…

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Bernardo Uribe Jongbloed, Higinio Serrano Garcia, Miguel Alejandro Xicoténcatl Merino
Magnetic Equivariant K-Theory

SpringerBriefs in Mathematics

This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionall…

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