A. Merino

activity

20192026

most citedCharacters of some unitary highest weight representations via the theta correspondence

3 citations · 5 across the 10 of their papers we have counts for

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3 papers · 2 filters

math.RT2019★ 1 cited

Transfer of characters in the theta correspondence with one compact member

Allan Merino

For an irreducible dual pair $(G, G^{'}) \in S p (W)$ with one member compact and two representations $Π \leftrightarrow Π^{'}$ appearing in the Howe duality, we give an expression of the c…

math.RT2019★ 1 cited

Dual pairs in the Pin-group and duality for the corresponding spinorial representation

Clément Guérin, Gang Liu, Allan Merino

In this paper, we give a complete picture of Howe correspondence for the setting ( $O (E, b), P in (E, b), Π$ ), where $O (E, b)$ is an orthogonal group (real or complex), $P in (E, b)$ is…

math.RT2019★ 3 cited

Characters of some unitary highest weight representations via the theta correspondence

Allan Merino

In this article, we consider a dual pair $(G, G^{'})$ in the symplectic group $S p (W)$ with $G$ compact and let $(G ~, G ~^{'})$ be the preimages of $G$ and $G^{'}$ in the metapl…