On multiplicity in restriction of tempered representations of p-adic groups
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DOI: 10.1007/s00209-018-2091-4
Abstract: We establish an equality between two multiplicities: one in the restriction of tempered representations of a p-adic group to its closed subgroup with the same derived group; and one occurring in their corresponding component groups… read more here.
Keywords: multiplicity; adic groups; representations adic; restriction tempered ... See more keywords
Homological multiplicities in representation theory of p-adic groups
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DOI: 10.1007/s00209-019-02262-4
Abstract: For a spherical variety X of a reductive group G over a non-archimedean local field F, and for a smooth representation $$\pi $$π of G we study homological multiplicities $$\dim {\text {Ext}}_{G}^{*}(\mathcal {S}(X),\pi )$$dimExtG∗(S(X),π). Based… read more here.
Keywords: adic groups; homological multiplicities; theory adic; multiplicities representation ... See more keywords
Types and unitary representations of reductive p-adic groups
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DOI: 10.1007/s00222-018-0790-4
Abstract: We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces… read more here.
Keywords: representations reductive; adic groups; unitary representations; types unitary ... See more keywords
A note on the representation theory of central extensions of reductive p-adic groups
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DOI: 10.1080/00927872.2023.2209647
Abstract: In this note, we verify that several fundamental results from the theory of representations of reductive $p$-adic groups, extend to finite central extensions of these groups. read more here.
Keywords: note representation; reductive adic; central extensions; representation theory ... See more keywords