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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 assuming
Spinors in Hilbert Space
Introduction 1. Clifford algebras 2. Fock representations 3. Implementation and equivalence 4. Spin groups Appendix Bibliography Index.
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
Entire cyclic homology of Schatten ideals
Certain cocycles constructed by Connes are characters of $p$-summable Fredholm modules. In this article, we establish some consequences of the universal properties which these characters enjoy. Our
The Hecke algebra of a reductive p-adic group: a view from noncommutative geometry
Let H(G) be the Hecke algebra of a reductive p-adic group G. We formulate a conjecture for the ideals in the Bernstein decomposition of H(G). The conjecture says that each ideal is geometrically
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 the
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