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- Université de LorraineFR874 papers
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8 papers · 2 filters
Operator K-Theory and Tempiric Representations
Jacob Bradd, Nigel Higson, Robert Yuncken
David Vogan proved that if is a real reductive group, and if is a maximal compact subgroup of , then every irreducible representation of is included as a minimal …
On affine Kazhdan-Lusztig R-polynomials for Kac-Moody groups
Auguste Hébert, Paul Philippe
In 2019, D. Muthiah proposed a strategy to define affine Kazhdan-Lusztig -polynomials for Kac-Moody groups. Since then, Bardy-Panse, the first author and Rousseau have introduce…
Nilpotent Invariants for Generic Discrete Series of Real Groups
Jeffrey Adams, Alexandre Afgoustidis
Let be a real reductive group. Suppose is an irreducible representation of having a Whittaker model, and consider three invariants of relate…
A characterization of the -range of the generalized spectral projections related to the Hodge-de Rham Laplacian
Abdelhamid Boussejra, Khalid Koufany
Let be the real hyperbolic space. In this paper, we present a characterization of the -range of the generalized spectral projections on the bundle of differen…
Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order
Auguste Hebert, Paul Philippe
Let be a split Kac-Moody group over a local field. In their study of the Iwahori-Hecke algebra of , A.Braverman, D. Kazhdan and M. Patnaik defined a partial order - called t…
Lowest -types in the local Langlands correspondence
Jeffrey Adams, Alexandre Afgoustidis
Consider the irreducible representations of a real reductive group , and their parametrization by the local Langlands correspondence. We ask: does the parametrizatio…