31 research outputs found

    Homological algebra for Schwartz algebras of reductive p-adic groups

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    Let G be a reductive group over a non-Archimedean local field. Then the canonical functor from the derived category of smooth tempered representations of G to the derived category of all smooth representations of G is fully faithful. Here we consider representations on bornological vector spaces. As a consequence, if V and W are two tempered irreducible representations and if V or W is square-integrable, then Ext_G^n(V,W) vanishes for all n>0. We use this to prove in full generality a formula for the formal dimension of square-integrable representations due to Schneider and Stuhler.Comment: 34 pages, version 2 contains, in addition, a discussion about formal dimensions from the point of view of Schwartz algebras and von Neumann algebra

    ATLAS detector and physics performance: Technical Design Report, 1

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    Théorie des bornologies et applications

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    Nuclear and conuclear spaces : introductory courses on nuclear and conuclear spaces in the light of the duality "topology-bornology" /

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    Includes bibliographical references (pages 263-275) and index.Print version record.Front Cover; Nuclear and Conuclear Spaces; Copyright Page; INTRODUCTION; NOTATION; LIST OF CONTENTS; CHAPTER I. SCHWARTZ AND INFRA-SCHWARTZ SPACES; CHAPTER II. OPERATORS IN BANACH SPACES; CHAPTER III. NUCLEAR AND CONUCLEAR SPACES; CHAPTER IV. PERMANENCE PROPERTIES OF NUCLEARITY AND CONUCLEARITY; CHAPTER V. EXAMPLES OF NUCLEAR AND CONUCLEAR SPACES; INDEX; TABLE OF SYMBOLS; BIBLIOGRAPHY.Elsevie

    On ∧-Mackey convergence in locally convex spaces

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