3 citations · 5 across the 10 of their papers we have counts for
12 papers
Towards a Characterization of Matrix Monotonicity via Radial Convexity
Małgorzata M. Czerwińska, Jose A. Franco, Allan Merino
The theory of matrix monotone functions of finite degree depends subtly on the matrix size. Motivated by this phenomenon, we introduce radial convexity of metrics with respect to m…
On The Linearization of Alternative Means
Raluca Dumitru, Jose Franco, Allan Merino
Alternative means have recently attracted considerable attention in matrix analysis and operator theory. In this paper, we investigate the linearization problem for alternative mea…
Spectral Decomposition and Linearization of Kubo-Ando Means
Raluca Dumitru, Jose Franco, Allan Merino
In this paper, we study the structure of Kubo-Ando means on the cone of positive Hermitian matrices over the real numbers, complex numbers, and quaternions. Given a Kubo-Ando mean…
Kubo-Ando Means of Finite Order over Real Division Algebras
Jose Franco, Allan Merino
In this paper, we study Kubo-Ando means of finite order over the real division algebras , , and . We establish an explicit bijection between Kub…
The Cone of J-Hermitian Matrices and a Geometric Mean
Jose Franco, Allan Merino
We study the cone of positive J-Hermitian matrices associated with an indefinite signature matrix J = . We show that the J-exponential map…
Howe duality for the dual pair
Roman Lavicka, Allan Merino
The goal of our work is to study the decomposition of the joint action of and on the supersymmetric algebra $…
Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup
Allan Merino, Hadi Salmasian
In this paper, we obtain a full classification of reductive dual pairs in a, real or complex, Lie superalgebra and Lie supergroup . Moreover, b…
Characters of irreducible unitary representations of via double lifting from
Allan Merino
In this paper, we obtained character formulas of irreducible unitary representations of by using Howe's correspondence and the Cauchy--Harish-Chandra integral. The repr…
Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral
Allan Merino
As conjectured by T. Przebinda, the transfer of characters in the Howe's correspondence should be obtained via the Cauchy-Harish-Chandra integral. In this paper, we prove that the…
Transfer of characters in the theta correspondence with one compact member
Allan Merino
For an irreducible dual pair with one member compact and two representations appearing in the Howe duality, we give an expression of the c…
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 (), where is an orthogonal group (real or complex), is…
Characters of some unitary highest weight representations via the theta correspondence
Allan Merino
In this article, we consider a dual pair in the symplectic group with compact and let be the preimages of and in the metapl…