1.

Record Nr.

UNINA9910812439503321

Autore

Caprace Pierre-Emmanuel <1981->

Titolo

"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2009

©2009

ISBN

1-4704-0530-X

Descrizione fisica

1 online resource (108 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 198, Number 924

Disciplina

511.3/26

Soggetti

Isomorphisms (Mathematics)

Automorphisms

Kac-Moody algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 198, Number 924 (first of 6 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Contents""; ""Introduction""; ""Acknowledgements""; ""Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings""; ""1.1. Kac-Moody groups and Tits functors""; ""1.2. Root data""; ""1.3. Tits buildings""; ""1.4. Twin root data and twin buildings: a short dictionary""; ""Chapter 2. Basic tools from geometric group theory""; ""2.1. CAT(0) geometry""; ""2.2. Rigidity of algebraic-group-actions on trees""; ""Chapter 3. Kac-Moody groups and algebraic groups""; ""3.1. Bounded subgroups""; ""3.2. Adjoint representation of Tits functors""

""3.3. A few facts from the theory of algebraic groups""""Chapter 4. Isomorphisms of Kac-Moody groups: an overview""; ""4.1. The isomorphism theorem""; ""4.2. Diagonalizable subgroups and their centralizers""; ""4.3. Completely reducible subgroups and their centralizers""; ""4.4. Basic recognition of the ground field""; ""4.5. Detecting rank one subgroups of Kac-Moody groups""; ""4.6. Images of diagonalizable subgroups under Kac-Moody group isomorphisms""; ""4.7. A technical auxiliary to the isomorphism theorem""; ""Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero""

""5.1. Rigidity of SL[sub(2)](Q)-actions on CAT(0) polyhedral complexes""""5.2. Homomorphisms of Chevalley groups over  Q to Kac-Moody groups""; ""5.3. Regularity of diagonalizable subgroups""; ""5.4.



Proof of the isomorphism theorem""; ""Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic""; ""6.1. On bounded subgroups of Kac-Moody groups""; ""6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups""; ""6.3. Images of certain small subgroups under Kac-Moody group isomorphisms""; ""6.4. Proof of the isomorphism theorem""

""Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups""""7.1. The non-linearity theorem""; ""7.2. A combinatorial characterization of affine Coxeter groups""; ""7.3. On infinite root systems""; ""7.4. Proof of the non-linearity theorem""; ""Chapter 8. Unitary forms of Kac-Moody groups""; ""8.1. Introduction""; ""8.2. Definitions""; ""8.3. Isomorphisms of unitary forms""; ""8.4. Non-linearity""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""

2.

Record Nr.

UNINA9910557840303321

Autore

Zhou Yaoqun

Titolo

Dynamisches Bremsverhalten des Reifen-Fahrwerk-Systems

Pubbl/distr/stampa

Karlsruhe, : KIT Scientific Publishing, 2022

ISBN

1000140509

Descrizione fisica

1 online resource (448 p.)

Collana

Karlsruher Schriftenreihe Fahrzeugsystemtechnik

Soggetti

Mechanical engineering & materials

Lingua di pubblicazione

Tedesco

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

In the frame of this research work, a complete tyre suspension brake system, which includes a McPherson strut and a modified ABS hydro aggregate is analyzed, developed and optimized on the inner drum test bench and studied using different tyres as well as under various road and braking excitations. By direct control of each interior magnet valve in the ABS hydro aggregate by a real time computer, complex brake slopes as well as various ABS control concepts are implemented on the test bench.