The unitary spherical spectrum for split classical groups
D Barbasch - Journal of the Institute of Mathematics of Jussieu, 2010 - cambridge.org
The unitary spherical spectrum for split classical groups Page 1 Journal of the Inst. of Math.
Jussieu (2010) 9(2), 265–356 265 doi:10.1017/S1474748009000231 c Cambridge …
Jussieu (2010) 9(2), 265–356 265 doi:10.1017/S1474748009000231 c Cambridge …
On the notion of metaplectic Barbasch–Vogan duality
D Barbasch, JJ Ma, B Sun… - International Mathematics …, 2023 - academic.oup.com
In analogy with the Barbasch–Vogan duality for real reductive linear groups, we introduce a
duality notion useful for the representation theory of the real metaplectic groups. This is a …
duality notion useful for the representation theory of the real metaplectic groups. This is a …
Unitary equivalences for reductive p-adic groups
D Barbasch, D Ciubotaru - American Journal of Mathematics, 2013 - muse.jhu.edu
We establish a transfer of unitarity for a Bernstein component of the category of smooth
representations of a reductive $ p $-adic group to the associated Hecke algebra, in the …
representations of a reductive $ p $-adic group to the associated Hecke algebra, in the …
Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments
KY Chan - arXiv preprint arXiv:2111.13286, 2021 - arxiv.org
Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …
representations can be used to construct simple quotients of Bernstein-Zelevinsky …
Star operations for affine Hecke algebras
D Barbasch, D Ciubotaru - arXiv preprint arXiv:1504.04361, 2015 - arxiv.org
In this paper, we consider the star operations for (graded) affine Hecke algebras which
preserve certain natural filtrations. We show that, up to inner conjugation, there are only two …
preserve certain natural filtrations. We show that, up to inner conjugation, there are only two …
Hermitian forms for affine Hecke algebras
D Barbasch, D Ciubotaru - arXiv preprint arXiv:1312.3316, 2013 - arxiv.org
arXiv:1312.3316v2 [math.RT] 18 Mar 2015 Page 1 arXiv:1312.3316v2 [math.RT] 18 Mar 2015
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
On unitary unipotent representations of 𝑝-adic groups and affine Hecke algebras with unequal parameters
D Ciubotaru - Representation Theory of the American Mathematical …, 2008 - ams.org
We determine the unitary dual of the geometric graded Hecke algebras with unequal
parameters which appear in Lusztig's classification of unipotent representations for …
parameters which appear in Lusztig's classification of unipotent representations for …
On the generalized Ramanujan and Arthur conjectures over function fields
D Ciubotaru, M Harris - arXiv preprint arXiv:2311.15300, 2023 - arxiv.org
Let $ G $ be a simple group over a global function field $ K $, and let $\pi $ be a cuspidal
automorphic representation of $ G $. Suppose $ K $ has two places $ u $ and $ v …
automorphic representation of $ G $. Suppose $ K $ has two places $ u $ and $ v …
Iwahori–Matsumoto involution and linear Koszul duality
I Mirković, S Riche - International Mathematics Research …, 2015 - ieeexplore.ieee.org
We use linear Koszul duality, a geometric version of the standard duality between modules
over symmetric and exterior algebras, to give a geometric realization of the Iwahori …
over symmetric and exterior algebras, to give a geometric realization of the Iwahori …
Vogan's FPP conjecture for complex Lie groups
arXiv:2407.16512v1 [math.RT] 23 Jul 2024 Page 1 arXiv:2407.16512v1 [math.RT] 23 Jul 2024
VOGAN’S FPP CONJECTURE FOR COMPLEX LIE GROUPS CHAO-PING DONG AND KAYUE …
VOGAN’S FPP CONJECTURE FOR COMPLEX LIE GROUPS CHAO-PING DONG AND KAYUE …