Bipul Saurabh

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20162018

most citedGelfand-Kirillov dimension of the algebra of regular functions on quantum groups

1 citations · 1 across the 1 of their papers we have counts for

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math.OA2018

Spectral dimension of spheres

Bipul Saurabh

In this paper, we associate a growth graph and a length operator to a quotient space of a semisimple compact Lie group. Under certain assumptions, we show that the spectral dimensi…

math.OA2017★ 1 cited

Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups

Partha Sarathi Chakraborty, Bipul Saurabh

Let $G_{q}$ be the $q$ -deformation of a simply connected simple compact Lie group $G$ of type $A$ , $C$ or $D$ and $O_{q} (G)$ be the algebra of regular functions on $G_{q}$ . In…

math.OA2017

Gelfand-Kirillov dimension of some simple unitarizable modules

Partha Sarathi Chakraborty, Bipul Saurabh

Let $O_{q} (G)$ be the quantized algebra of regular functions on a semisimple simply connected compact Lie group $G$ . Simple unitarizable left $O_{q} (G)$ -module are…

math.OA2016

Quantum analogs of Stiefel manifolds $S U_{q} (n) / S U_{q} (n - m)$ were introduced by Podkolzin \& Vainerman. The underlying $C^{*}$ -algebra $C (S U_{q} (n) / S U_{q} (n - m))$ can be described as the…

Spectral dimension of spheres

Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups

Gelfand-Kirillov dimension of some simple unitarizable modules

Quantum Stiefel manifolds