Cantitate/Preț
Produs
Total produse
Vezi coșul
Steinberg Groups for Jordan Pairs de Ottmar Loos

Steinberg Groups for Jordan Pairs: Progress in Mathematics, cartea 332

Autor Ottmar Loos, Erhard Neher
en Limba Engleză Hardback – 11 ian 2020
The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume's main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory.

Steinberg Groups for Jordan Pairs is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordanalgebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential.
Citește tot Restrânge

Din seria Progress in Mathematics

  • 24% Rational Homotopy Theory and Differential Forms
    Preț: 74079 lei
  • Topics in Operator Semigroups
    Preț: 30820 lei
  • 20% Éléments de Géométrie Rigide: Volume I. Construction et Étude Géométrique des Espaces Rigides
    Preț: 69588 lei
  • CR Submanifolds of Kaehlerian and Sasakian Manifolds
    Preț: 36251 lei
  • Inverse Problems in Ordinary Differential Equations and Applications
    Preț: 30813 lei
  • 18% Spectral Theory of Infinite-Area Hyperbolic Surfaces
    Preț: 74927 lei
  • 9% Motivic Integration
    Preț: 76641 lei
  • 20% Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In honor of Vyjayanthi Chari on the occasion of her 60th birthday
    Preț: 63108 lei
  • 24% Extrinsic Geometry of Foliations
    Preț: 63886 lei
  • 15% Symplectic Geometry and Secondary Characteristic Classes
    Preț: 58082 lei
  • Quadratic Forms in Infinite Dimensional Vector Spaces
    Preț: 39237 lei
  • Quadratic Forms in Infinite Dimensional Vector Spaces
    Preț: 39509 lei
  • Mathematical Analysis
    Preț: 37680 lei
  • Ergodic Theory and Dynamical Systems I: Proceedings Special Year, Maryland 1979–80
    Preț: 39025 lei
  • 18% Pseudodifferential Operators and Nonlinear PDE
    Preț: 72953 lei
  • 15% Harmonic Analysis on Reductive Groups
    Preț: 65249 lei
  • 15% Radon Integrals: An abstract approach to integration and Riesz representation through function cones
    Preț: 64922 lei
  • 18% The Langlands Classification and Irreducible Characters for Real Reductive Groups
    Preț: 89795 lei
  • New Developments in Lie Theory and Their Applications
    Preț: 38508 lei
  • Computational Algebraic Geometry
    Preț: 39102 lei
  • Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
    Preț: 37854 lei
  • 15% Morse Homology
    Preț: 53159 lei
  • 15% Generalized Vertex Algebras and Relative Vertex Operators
    Preț: 64283 lei
  • 15% Decomposition Spectrale et Series d'Eisenstein
    Preț: 65069 lei
  • Residue Currents and Bezout Identities
    Preț: 38121 lei
  • Integrable Systems: The Verdier Memorial Conference Actes du Colloque International de Luminy
    Preț: 39237 lei
  • Holomorphic Curves in Symplectic Geometry
    Preț: 39853 lei
  • 15% Lectures on the Geometry of Poisson Manifolds
    Preț: 69928 lei
  • First European Congress of Mathematics Paris, July 6–10, 1992: Vol. I Invited Lectures (Part 1)
    Preț: 41692 lei
  • Algebra and Geometry
    Preț: 38584 lei
  • 18% First European Congress of Mathematics Paris, July 6–10, 1992: Vol. II: Invited Lectures (Part 2)
    Preț: 90265 lei
  • 18% First European Congress of Mathematics: Paris, July 6–10, 1992 Round Tables
    Preț: 80228 lei
  • 15% Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
    Preț: 64006 lei
  • 18% Lie Theory and Geometry: In Honor of Bertram Kostant
    Preț: 112983 lei
  • 15% Symplectic Geometry: An Introduction based on the Seminar in Bern, 1992
    Preț: 49403 lei
  • 15% Prime Numbers and Computer Methods for Factorization
    Preț: 59308 lei

Preț: 90460 lei

Preț vechi: 110316 lei
-18% Nou

Puncte Express: 1357
Preț estimativ în valută:
17311€ • 18051$ • 14388£

Carte tipărită la comandă

Livrare economică 21 martie-04 aprilie

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781071602621
ISBN-10: 1071602624
Pagini: 458
Ilustrații: XII, 458 p. 2 illus. in color.
Dimensiuni: 155 x 235 x 42 mm
Greutate: 0.84 kg
Ediția:1st ed. 2019
Editura: Springer
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:New York, NY, United States

Cuprins

Preface.- Notation and Conventions.- Groups with Commutator Relations.- Groups Associated with Jordan Pairs.- Steinberg Groups for Peirce Graded Jordan Pairs.- Jordan Graphs.- Steinberg Groups for Root Graded Jordan Pairs.- Central Closedness.- Bibliography.- Subject Index.- Notation Index.

Textul de pe ultima copertă

Steinberg groups, originating in the work of R. Steinberg on Chevalley groups in the nineteen sixties, are groups defined by generators and relations. The main examples are groups modelled on elementary matrices in the general linear, orthogonal and symplectic group. Jordan theory started with a famous article in 1934 by physicists P. Jordan and E. Wigner, and mathematician J. v. Neumann with the aim of developing new foundations for quantum mechanics. Algebraists soon became interested in the new Jordan algebras and their generalizations: Jordan pairs and triple systems, with notable contributions by A. A. Albert, N. Jacobson and E. Zel'manov.

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume's main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory.

Steinberg Groups for Jordan Pairs is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordan algebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential.

Caracteristici

Develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems Simplifies the case-by-case arguments and explicit matrix calculations made in much of the existing literature Offers new approaches and original concepts to add clarity to the study of Steinberg groups