Debabrata Jana

collaborators

3 papers

math.OA2026

Quantum unitary group $U_{q, I^} (3)$ for complex deformation parameters

Manabendra Giri, Debabrata Jana

In this article, we consider a particular Hayashi $R$ -matrix that satisfies the Yang-Baxter equation $R_{12} R_{13} R_{23} = R_{23} R_{13} R_{12}$ . Using the FRT-bialgebra technique and…

math.PR2025

Overlap distribution of spherical spin glass models with general eigenvalue distribution of the interaction matrix

Debapratim Banerjee, Debabrata Jana

In this paper, we show that the replica symmetry of the Gibbs measure of spherical spin systems is a property of the eigenvalue spacing at the edge of the interaction matrix. In pa…

math.OA2025

A few remarks on intermediate subalgebras of an inclusion of C*-algebras

Keshab Chandra Bakshi, Satyajit Guin, Debabrata Jana

We show that the angle between intermediate $C^{*}$ -subalgebras of an inclusion of simple $C^{*}$ -algebras with finite Watatani index is stable. The notion of angle is instrumental in…

Quantum unitary group Uq,I^​(3) for complex deformation parameters

Overlap distribution of spherical spin glass models with general eigenvalue distribution of the interaction matrix

A few remarks on intermediate subalgebras of an inclusion of C*-algebras

Quantum unitary group $U_{q, I^} (3)$ for complex deformation parameters