Ayan Dey

collaborators

5 papers

math.QA2026

Generalized Quantum Minors Generate Quantized Coordinate Rings

Ayan Dey

Let $G$ be a simply connected simple complex algebraic group. It is proved by Oya, Qin, and Yakimov that the quantized coordinate ring $O_{q} (G)$ is generated by generalize…

math.QA2026

Triangular Decomposition of the Crystal Lattice of Quantized Function Algebras: Exceptional Types

Ayan Dey

For $\g$ of type $G_{2}$ , $F_{4}$ , or $E_{8}$ , let $G$ be the connected simply connected complex Lie group with $\mathrm{Lie}(G)=\g$, and compact real form $K$ . We prove the triangular d…

math.QA2026

A triangular decomposition for the crystal lattice of quantized function algebras

Saikat Das, Ayan Dey, Arup Kumar Pal

We prove a triangular decomposition theorem for the lower crystal lattice $O_{t}^{A_{0}} (G)$ of the quantized function algebra $O_{t} (G)$ , where $G$ is a con…

gr-qc2025

A note on the Penrose process in rotating regular black holes

Anjan Kar, Ayan Dey, Sayan Kar

We investigate the Penrose process of energy extraction in the context of rotating regular black holes. For the Neves-Saa class of regular black hole solutions, which includes the…

math.OA2025

On representations of the crystallization of the quantized function algebra C(SUq(n + 1))

Saikat Das, Ayan Dey

The crystal limit C(K0) of the $q$ -family of C*-algebras C(Kq) was introduced by Giri & Pal for all K=SU(n+1), n\geq 2. This article aims to prove that the crystal limits C(K0) hav…