Manabendra Giri

activity

20222026

collaborators

4 papers

math.OA2026

Quantum unitary group $U_{q, Θ} (3)$ 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.OA2026

Compact Quantum Group Extensions of $U S p_{q} (2 n)$ , $O_{q} (n)$ and $S O_{q} (2 n)$

Manabendra Giri

I introduce compact quantum group extensions associated with the $q$ -deformations of the classical compact groups $U S p (2 n)$ , $O (n, R)$ and $S O (2 n, R)$ . Motivated by…

math.OA2024

Irreducible representations of the crystallization of the quantized function algebras $C (S U_{q} (n + 1))$

Manabendra Giri, Arup Kumar Pal

Crystallization of the $C^{*}$ -algebras $C (S U_{q} (n + 1))$ was introduced by Giri \& Pal as a $C^{*}$ -algebra $C (S U_{0} (n + 1))$ given by a finite set of generators and relations. Here we…

math.QA2022

Quantized function algebras at $q = 0$ : type $A_{n}$ case

Manabendra Giri, Arup Kumar Pal

We define the notion of quantized function algebras at $q = 0$ or crystallization of the $q$ deformations of the type $A_{n}$ compact Lie groups at the $C^{*}$ -algebra level. The $C^{*…

Quantum unitary group Uq,Θ​(3) for complex deformation parameters

Compact Quantum Group Extensions of USpq​(2n), Oq​(n) and SOq​(2n)

Irreducible representations of the crystallization of the quantized function algebras C(SUq​(n+1))

Quantized function algebras at q=0: type An​ case

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

Compact Quantum Group Extensions of $U S p_{q} (2 n)$ , $O_{q} (n)$ and $S O_{q} (2 n)$

Irreducible representations of the crystallization of the quantized function algebras $C (S U_{q} (n + 1))$

Quantized function algebras at $q = 0$ : type $A_{n}$ case