H. Seppanen

activity

20072015

most citedBranching of some holomorphic representations of SO(2,N)

8 citations · 17 across the 8 of their papers we have counts for

collaborators

9 papers

math.RT2015

Geometric Invariant Theory for principal three-dimensional subgroups acting on flag varieties

Henrik Seppänen, Valdemar V. Tsanov

Let G be a semisimple complex Lie group. In this article, we study Geometric Invariant Theory on a flag variety G/B with respect to the action of a principal 3-dimensional simple s…

math.AG2014★ 1 cited

Okounkov bodies for ample line bundles with applications to multiplicities for group representations

Henrik Seppänen

Let $L \to X$ be an ample line bundle over a complex normal projective variety $X$ . We construct a flag $X_{0} \subseteq X_{1} \subseteq \dots \subseteq X_{n} = X$ of su…

math.RT2014★ 2 cited

Global branching laws by global Okounkov bodies

Henrik Seppänen

Let $G^{'}$ be a complex semisimple group, and let $G \subseteq G^{'}$ be a semisimple subgroup. We show that the branching cone of the pair $(G, G^{'})$ , which (asymptotically) parametrize…

math.CV2010★ 2 cited

Okounkov bodies for ample line bundles

Henrik Seppänen

Let $L \to X$ be an ample line bundle over a nonsingular complex projective variety $X$ . We construct an admissable flag $X_0 \subseteq X_1 \subseteq...\subseteq…

math.RT2009★ 8 cited

Branching of some holomorphic representations of SO(2,N)

Henrik Seppanen

In this paper we consider the analytic continuation of the weighted Bergman spaces on the Lie ball $D = S O (2, n) / S (O (2) \times O (n))$ and the corresponding holomorphic uni…

math.RT2009★ 4 cited

Borel-Weil Theory for Root Graded Banach-Lie groups

Christoph Mueller, Karl-Hermann Neeb, Henrik Seppanen

In this paper we introduce (weakly) root graded Banach--Lie algebras and corresponding Lie groups as natural generalizations of group like $\GL_n(A)$ for a Banach algebra $A$ or gr…