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COHOMOLOGICAL ASPECTS OF COMPLETE REDUCIBILITY OF REPRESENTATIONS
Angličtina
127 b
Až 30 dní na vrátenie tovaru
Zákazníci tiež kúpili
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Brožovaná
4.21
€
/
Brožovaná
16.88
€
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.
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Je to jednoduché
1 Pridajte knihu do košíka a vyberte možnosť doručiť ako darček 2 Obratom Vám zašleme poukaz 3 Knihu zašleme na adresu obdarovanéhoMohlo by vás tiež zaujímať
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Pevná
37.19
€
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Brožovaná
22.72
€
/
Brožovaná
24.32
€
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