Binyamin Schwarz

activity

20112016

most citedStructure of the degenerate principal series on symmetric R-spaces and small representations

13 citations · 13 across the 5 of their papers we have counts for

collaborators

9 papers

math.RT2016

Bessel operators on Jordan pairs and small representations of semisimple Lie groups

Jan Möllers, Benjamin Schwarz

We provide a uniform construction of $L^{2}$ -models for all small unitary representations in degenerate principal series of semisimple Lie groups which are induced from maximal parab…

math.RT2014

Higher Laplacians on pseudo-Hermitian symmetric spaces

Benjamin Schwarz

Let $X = G / H$ be a symmetric space for a real simple Lie group $G$ , equipped with a $G$ -invariant complex structure. Then, $X$ is a pseudo-Hermitian manifold, and in this geometric s…

math.RT2014

Hilbert series of nearly holomorphic sections on generalized flag manifolds

Benjamin Schwarz

Let X=G/P be a complex flag manifold and E->X be a G-homogeneous holomorphic vector bundle. Fix a U-invariant Kaehler metric on X with U in G maximal compact. We study the sheaf of…

math.RT2013

Branching laws for small unitary representations of GL(n,C)

Jan Möllers, Benjamin Schwarz

The unitary principal series representations of $G = G L (n, C)$ induced from a character of the maximal parabolic subgroup $P=(GL(1,\mathbb{C})\times GL(n-1,\mathbb{C}))\ltime…

math.RA2013

Inequalities for generalized minors

Benjamin Schwarz

It is a classical result that the absolute value of any $k$ -minor of an $r \times s$ real or complex matrix is bounded by the product of its first $k$ singular values. We generalize…

math.CV2013

Existence of nearly holomorphic sections on compact Hermitian symmetric spaces

Benjamin Schwarz

Let $X = U / K$ be a compact Hermitian symmetric space, and let $\sE$ be a $U$ -homogeneous Hermitian vector bundle on $X$ . In a previous paper, we showed that the space of nearly holom…

math.RT2012★ 13 cited

Structure of the degenerate principal series on symmetric R-spaces and small representations

Jan Möllers, Benjamin Schwarz

Let $G$ be a simple real Lie group with maximal parabolic subgroup $P$ whose nilradical is abelian. Then $X = G / P$ is called a symmetric $R$ -space. We study the degenerate principal…

math.RT2012

Nearly holomorphic sections on compact Hermitian symmetric spaces

Benjamin Schwarz

Let X be a Kähler manifold, and E be a Hermitian vector bundle on X. We investigate the space N(X,E) of nearly holomorphic sections in E, which generalizes the notion of nearly hol…

math.RT2011

Symplectic branching laws and Hermitian symmetric spaces

Benjamin Schwarz, Henrik Seppänen

Let $G$ be a complex simple Lie group, and let $U \subseteq G$ be a maximal compact subgroup. Assume that $G$ admits a homogenous space $X = G / Q = U / K$ which is a compact Hermitian sym…