On some conjectures of the unitary dual of U (p, q)
KD Wong - Advances in Mathematics, 2024 - Elsevier
In this manuscript, we introduce the notion of fundamental cases to study the unitary dual of
U (p, q). As applications, we prove of a conjecture of Salamanca-Riba and Vogan stated in …
U (p, q). As applications, we prove of a conjecture of Salamanca-Riba and Vogan stated in …
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 unitary dual of : proof of a conjecture of Salamanca-Riba and Vogan
KD Wong - arXiv preprint arXiv:2210.08684, 2022 - arxiv.org
arXiv:2210.08684v2 [math.RT] 18 Sep 2023 Page 1 arXiv:2210.08684v2 [math.RT] 18 Sep
2023 ON THE UNITARY DUAL OF U(p, q): PROOF OF A CONJECTURE OF SALAMANCA-RIBA …
2023 ON THE UNITARY DUAL OF U(p, q): PROOF OF A CONJECTURE OF SALAMANCA-RIBA …
Whittaker unitary dual of affine graded Hecke algebras of type E
D Barbasch, D Ciubotaru - Compositio Mathematica, 2009 - cambridge.org
This paper gives the classification of the Whittaker unitary dual for affine graded Hecke
algebras of type E. By the Iwahori–Matsumoto involution, this is also equivalent to the …
algebras of type E. By the Iwahori–Matsumoto involution, this is also equivalent to the …
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 …
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 …
On the generalized Ramanujan conjecture over function fields
D Ciubotaru, M Harris - arXiv preprint arXiv:2204.06053, 2022 - 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 …