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Publications Influence

REPRESENTATION THEORY OF SEMISIMPLE GROUPS: An Overview Based on Examples

- R. Plymen
- Mathematics
- 1 March 1989

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 assuming… Expand

380 22- PDF

Spinors in Hilbert Space

- R. Plymen
- Mathematics
- 27 January 1995

Introduction 1. Clifford algebras 2. Fock representations 3. Implementation and equivalence 4. Spin groups Appendix Bibliography Index.

39 9

Strong Morita equivalence, spinors and symplectic spinors

- R. Plymen
- Mathematics
- 1986

69 7

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 the… Expand

28 6- PDF

The Dirac operator and the principal series for complex semisimple Lie groups

- M. G. Penington, R. Plymen
- Mathematics
- 1 October 1983

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 a… Expand

37 2

The local Langlands correspondence for inner forms of SL$$_{n}$$n

- A. Aubert, P. Baum, R. Plymen, M. Solleveld
- Mathematics
- 1 May 2013

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 the… Expand

37 1- PDF

The reduced C∗-algebra of the p-adic group GL(n)

- R. Plymen
- Mathematics
- 1 May 1987

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 unitary… Expand

33 1

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).

27 1

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

18 1- PDF

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 chamber… Expand

5 1- PDF

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