Call Us 080-41656200 (Mon-Sat: 10AM-8PM)
Free Shipping above Rs. 1499
Cash On Delivery*

COHOMOLOGICAL ASPECTS OF COMPLETE REDUCIBILITY OF REPRESENTATIONS

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
Delivery in :  10-12 Business Days

 

Check Your Delivery Options

 
Rs. 4,396

Availability: In stock

 
  • Product Description
 

In this thesis we deal with questions of continuous group cohomology of continuous representations of a separable locally compact group on a real or complex Banach space. Of particular importance is the case of a compact group. Here we use a?ne actions to prove vanishing theorems. To do this, we give an alternative de?nition of the cohomology, which is recursive. As a consequence we prove under certain conditions (equivalent with the existence of a non-trivial simultaneous ?xed point of the associated a?ne map) all cohomology groups vanish. When G is a connected Lie group, we study the relationship of its cohomology with the corresponding Lie algebra cohomology. Finally, we consider the situation of a closed subgroup H of G which is cocompact and of co?nite volume and show just as in the case of a compact group that the restriction map H^n(G,V)-->H^n(H,V) is injective and apply this to questions of complete reducibility of representations.

Product Specifications
SKU :COC16844
AuthorIoannis Farmakis
LanguageEnglish
BindingPaperback
Number of Pages140
Publishing Year2010-02-12T00:00:00.000
ISBN978-3843377775
Edition1 st
Book TypeAlgebra
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-25 00:00:00