Preview this item
Preview this item
Checking...

# Arithmetic groups and their generalizations : what, why, and how

Author: Lizhen Ji Providence, R.I. : American Mathematical Society ; [Somerville, MA] : International Press, ©2008. AMS/IP studies in advanced mathematics, v. 43. Book : EnglishView all editions and formats WorldCat In one guise or another, mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. This work aims to explain what arithmetic groups and their  Read more... (not yet rated) 0 with reviews - Be the first.

## Find a copy in the library

Finding libraries that hold this item...

## Details

Material Type: Internet resource Book, Internet Resource Lizhen Ji Find more information about: Lizhen Ji 9780821846759 0821846752 212909009 xvii, 259 pages : illustrations ; 27 cm. Examples of basic arithmetic groups -- General arithmetic subgroups and locally symmetric spaces -- Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups -- Different completions of Q and S-arithmetic groups over number fields -- Global fields and S-arithmetic groups over function fields -- Finiteness properties of arithmetic and S-arithmetic groups -- Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients -- Compactifications of locally symmetric spaces -- Rigidity of locally symmetric spaces -- Automorphic forms and automorphic representations for general arithmetic groups -- Cohomology of arithmetic groups -- K-groups of rings of integers and K-groups of group rings -- Locally homogeneous manifolds and period domains -- Non-cofinite discrete groups, geometrically finite groups -- Large scale geometry of discrete groups -- Tree lattices -- Hyperbolic groups -- Mapping class groups and outer automorphism groups of free groups -- Outer automorphism of free groups and the outer spaces. AMS/IP studies in advanced mathematics, v. 43. Lizhen Ji.

## Reviews

User-contributed reviews

Be the first.

## Similar Items

### Related Subjects:(3)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

<http://www.worldcat.org/oclc/212909009>
library:oclcnum"212909009"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/212909009>
rdf:typeschema:Book
<http://id.worldcat.org/fast/814524>
 rdf:type schema:Intangible schema:name "Arithmetic groups"@en
<http://id.loc.gov/authorities/subjects/sh85007175>
 rdf:type schema:Intangible schema:name "Arithmetic groups."@en
<http://experiment.worldcat.org/entity/work/data/892407118#Topic/linear_algebraic_groups>
 rdf:type schema:Intangible schema:name "Linear algebraic groups."@en
<http://id.loc.gov/authorities/subjects/sh85077171>
 rdf:type schema:Intangible schema:name "Linear algebraic groups."@en
<http://id.worldcat.org/fast/999060>
 rdf:type schema:Intangible schema:name "Linear algebraic groups"@en
schema:creator
<http://viaf.org/viaf/106147231>
 rdf:type schema:Person schema:birthDate "1964" schema:familyName "Ji" schema:givenName "Lizhen" schema:name "Ji, Lizhen, 1964-"
schema:datePublished"2008"
schema:description"Examples of basic arithmetic groups -- General arithmetic subgroups and locally symmetric spaces -- Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups -- Different completions of Q and S-arithmetic groups over number fields -- Global fields and S-arithmetic groups over function fields -- Finiteness properties of arithmetic and S-arithmetic groups -- Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients -- Compactifications of locally symmetric spaces -- Rigidity of locally symmetric spaces -- Automorphic forms and automorphic representations for general arithmetic groups -- Cohomology of arithmetic groups -- K-groups of rings of integers and K-groups of group rings -- Locally homogeneous manifolds and period domains -- Non-cofinite discrete groups, geometrically finite groups -- Large scale geometry of discrete groups -- Tree lattices -- Hyperbolic groups -- Mapping class groups and outer automorphism groups of free groups -- Outer automorphism of free groups and the outer spaces."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/892407118>
schema:inLanguage"en"
schema:name"Arithmetic groups and their generalizations : what, why, and how"@en
schema:publisher
schema:publisher
<http://experiment.worldcat.org/entity/work/data/892407118#Agent/american_mathematical_society>
 rdf:type j.0:Agent schema:name "American Mathematical Society"
schema:url
schema:workExample

Content-negotiable representations