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REPRESENTATION THEORY OF SEMISIMPLE GROUPS: An Overview Based on Examples
Page 55, proof of Lemma 3.13. This proof is incorrect as it stands because it involves an interchange of limits that has not been justified. A naive attempt to fix the proof might involve assumingExpand
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Spinors in Hilbert Space
Introduction 1. Clifford algebras 2. Fock representations 3. Implementation and equivalence 4. Spin groups Appendix Bibliography Index.
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Strong Morita equivalence, spinors and symplectic spinors
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A NEW BOUND FOR THE SMALLEST x WITH π(x) > li(x)
We reduce the dominant term in Lehman's theorem. This improved estimate allows us to refine the main theorem of Bays & Hudson. Entering 2,000,000 Riemann zeros, we prove that there exists x in theExpand
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The Dirac operator and the principal series for complex semisimple Lie groups
The Dirac operator plays a fundamental role in the geometric construction of the discrete series for semisimple Lie groups. We show that, at the level of K-theory, the Dirac operator also plays aExpand
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The local Langlands correspondence for inner forms of SL$$_{n}$$n
Let F be a non-archimedean local field. We establish the local Langlands correspondence for all inner forms of the group $$\mathrm{SL}_n (F)$$SLn(F). It takes the form of a bijection between, on theExpand
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The reduced C∗-algebra of the p-adic group GL(n)
Abstract The reduced C∗-algebra of the p-adic group GL(n) is Morita equivalent to an abelian C∗-algebra. The structure of this abelian C∗-algebra is described in terms of unramified unitaryExpand
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A proof of the Baum-Connes conjecture for p-adic GL(n)
Nous donnons une demonstration de la conjecture de Baum-Connes pour le groupe p-adique GL(n).
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Geometric structure in the representation theory of p-adic groups
This expository note will state the ABP (Aubert-Baum-Plymen) conjecture. The conjecture can be stated at four levels: 1. K-theory of C*-algebras 2. Periodic cyclic homology of finite type algebras 3.Expand
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Cycles in the chamber homology of GL(3)
Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamberExpand
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