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On the pro-$p$ Iwahori Hecke Ext-algebra of $SL_{2}(\mathbb{Q}_{p})$
 
R. Ollivier University of British Columbia, Vancouver, Canada
P. Schneider Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-944-9
Product Code:  SMFMEM/175
List Price: $57.00
AMS Member Price: $45.60
Please note AMS points can not be used for this product
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On the pro-$p$ Iwahori Hecke Ext-algebra of $SL_{2}(\mathbb{Q}_{p})$
R. Ollivier University of British Columbia, Vancouver, Canada
P. Schneider Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-944-9
Product Code:  SMFMEM/175
List Price: $57.00
AMS Member Price: $45.60
Please note AMS points can not be used for this product
  • Book Details
     
     
    Mémoires de la Société Mathématique de France
    Volume: 1752022; 114 pp
    MSC: Primary 20; 22; 16; 11

    In this volume, the authors study the graded Ext-algebra \(E^{*}=Ext^{*}_{\mathrm{Mod}(G)}(k[G/I],k[G/I])\). Its degree zero piece \(E^{0}\) is the usual pro-\(p\) Iwahori-Hecke \(k\)-algebra \(H\).

    The authors study \(E^{d}\) as an \(H\)-bimodule and deduce that for an irreducible admissible smooth \(k\)-representation \(V\) of \(G\), they have \(H^{d}(I,V)=0\) unless \(V\) is the trivial representation.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

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Volume: 1752022; 114 pp
MSC: Primary 20; 22; 16; 11

In this volume, the authors study the graded Ext-algebra \(E^{*}=Ext^{*}_{\mathrm{Mod}(G)}(k[G/I],k[G/I])\). Its degree zero piece \(E^{0}\) is the usual pro-\(p\) Iwahori-Hecke \(k\)-algebra \(H\).

The authors study \(E^{d}\) as an \(H\)-bimodule and deduce that for an irreducible admissible smooth \(k\)-representation \(V\) of \(G\), they have \(H^{d}(I,V)=0\) unless \(V\) is the trivial representation.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.