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of 22
pro vyhledávání: '"Weiske, Clemens"'
Let $(\mathfrak{g}, \mathfrak{k})$ be a complex quaternionic symmetric pair with $\mathfrak{k}$ having an ideal $\mathfrak{sl}(2, \mathbb{C})$, $\mathfrak{k}=\mathfrak{sl}(2, \mathbb{C})+\mathfrak{m}_c$. Consider the representation $S^m(\mathbb{C}^2)
Externí odkaz:
http://arxiv.org/abs/2306.15090
Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most Hermitian groups, this family contains a complementary series, and at
Externí odkaz:
http://arxiv.org/abs/2304.05663
Publikováno v:
Adv. Math. 422 (2023), 109001
For a Hermitian Lie group $G$, we study the family of representations induced from a character of the maximal parabolic subgroup $P=MAN$ whose unipotent radical $N$ is a Heisenberg group. Realizing these representations in the non-compact picture on
Externí odkaz:
http://arxiv.org/abs/2209.04273
Autor:
Weiske, Clemens
Let $G=\operatorname{O}(1,n+1)$ with maximal compact subgroup $K$ and let $\Pi$ be a unitary irreducible representation of $G$ with non-trivial $(\mathfrak{g},K)$-cohomology. Then $\Pi$ occurs inside a principal series representation of $G$, induced
Externí odkaz:
http://arxiv.org/abs/2106.13562
Publikováno v:
In Indagationes Mathematicae May 2024
Publikováno v:
In Advances in Mathematics 1 June 2023 422
Autor:
Frahm, Jan, Weiske, Clemens
Publikováno v:
J. Funct. Anal. 279 (2020), no. 5, 108568
For a pair of real reductive groups $G'\subset G$ we consider the space ${\rm Hom}_{G'}(\pi|_{G'},\tau)$ of intertwining operators between spherical principal series representations $\pi$ of $G$ and $\tau$ of $G'$, also called \emph{symmetry breaking
Externí odkaz:
http://arxiv.org/abs/1812.00697
Autor:
Frahm, Jan, Weiske, Clemens
Publikováno v:
J. Lie Theory 29 (2019), no. 2, 511-558
The space of smooth sections of an equivariant line bundle over the real projective space $\mathbb{R}{\rm P}^n$ forms a natural representation of the group ${\rm GL}(n+1,\mathbb{R})$. We explicitly construct and classify all intertwining operators be
Externí odkaz:
http://arxiv.org/abs/1712.06344
Autor:
Frahm, Jan, Weiske, Clemens
Publikováno v:
In Journal of Functional Analysis 15 September 2020 279(5)
Publikováno v:
Frahm, J, Weiske, C & Zhang, G 2023 ' Heisenberg parabolically induced representations of Hermitian Lie groups, Part II : Next-to-minimal representations and branching rules ' .
Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most Hermitian groups, this family contains a complementary series, and at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6e249d8d25931ab70d57b8cf2590dc68
https://pure.au.dk/portal/da/publications/heisenberg-parabolically-induced-representations-of-hermitian-lie-groups-part-ii(12b18cd1-eecb-4cc1-8b18-a543ca20bd7f).html
https://pure.au.dk/portal/da/publications/heisenberg-parabolically-induced-representations-of-hermitian-lie-groups-part-ii(12b18cd1-eecb-4cc1-8b18-a543ca20bd7f).html