Zobrazeno 1 - 10
of 221
pro vyhledávání: '"Ørsted, Bent"'
Autor:
Ørsted, Bent, Vargas, Jorge A.
For a semisimple Lie group $G$ satisfying the equal rank condition, the most basic family of unitary irreducible representations is the Discrete Series found by Harish-Chandra. In this paper, we continue our study of the branching laws for Discrete S
Externí odkaz:
http://arxiv.org/abs/2412.08351
For every simple Hermitian Lie group $G$, we consider a certain maximal parabolic subgroup whose unipotent radical $N$ is either abelian (if $G$ is of tube type) or two-step nilpotent (if $G$ is of non-tube type). By the generalized Whittaker Planche
Externí odkaz:
http://arxiv.org/abs/2401.06427
Autor:
Kubo, Toshihisa, Ørsted, Bent
We classify and construct $SL(n,\mathbb{R})$-intertwining differential operators $\mathcal{D}$ from a line bundle to a vector bundle over the real projective space $\mathbb{RP}^{n-1}$ by the F-method. This generalizes a classical result of Bol for $S
Externí odkaz:
http://arxiv.org/abs/2312.15621
Autor:
Ørsted, Bent, Vargas, Jorge A.
For a semisimple Lie group $G$, we study Discrete Series representations with admissible branching to a symmetric subgroup $H$. This is done using a canonical associated symmetric subgroup $H_0$, forming a pseudo-dual pair with $H$, and a correspondi
Externí odkaz:
http://arxiv.org/abs/2302.14190
Autor:
Orsted, Bent, Speh, Birgit
In this paper we consider the unitary symmetric spaces of the form X=U(p,q)/U(1)U(p,q-1) and their discrete series representations. Inspired by the work of A.Venkatesh and Y.Sekellarides on L-groups of p-adic spherical spaces we formulate and prove n
Externí odkaz:
http://arxiv.org/abs/2209.10755
Connection coefficient formulas for special functions describe change of basis matrices under a parameter change, for bases formed by the special functions. Such formulas are related to branching questions in representation theory. The Askey-Wilson p
Externí odkaz:
http://arxiv.org/abs/2208.08411
Publikováno v:
J. Lie Theory 33 (2023), no. 1, 253-270
We study degenerate Whittaker vectors in scalar type holomorphic discrete series representations of tube type Hermitian Lie groups and their analytic continuation. In four different realizations, the bounded domain picture, the tube domain picture, t
Externí odkaz:
http://arxiv.org/abs/2207.05967
Publikováno v:
J. Funct. Anal. 286 (2024), no. 6, Paper No. 110333, 41 pp
For a Hermitian Lie group $G$ of tube type we find the contribution of the holomorphic discrete series to the Plancherel decomposition of the Whittaker space $L^2(G/N,\psi)$, where $N$ is the unipotent radical of the Siegel parabolic subgroup and $\p
Externí odkaz:
http://arxiv.org/abs/2203.14784
Autor:
Juhl, Andreas, Orsted, Bent
We discuss the singular Yamabe obstruction $\mathcal{B}_3$ of a hypersurface in a four-dimensional general background. We derive various explicit formula for $\mathcal{B}_3$ from the original definition. We relate these formulas to corresponding form
Externí odkaz:
http://arxiv.org/abs/2103.01552
Autor:
Juhl, Andreas, Orsted, Bent
Publikováno v:
Advances in Mathematics 409, Part A, 2022, 108634
Let $(X,g)$ be a compact manifold with boundary $M^n$ and $\sigma$ a defining function of $M$. To these data, we associate natural conformally covariant polynomial one-parameter families of differential operators $C^\infty(X) \to C^\infty(M)$. They a
Externí odkaz:
http://arxiv.org/abs/2101.09027