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Publications Influence

Quantum Isometry Groups: Examples and Computations

- J. Bhowmick, Debashish Goswami
- Mathematics, Physics
- 18 July 2007

In this follow-up of [4], where the quantum isometry group of a noncommutative manifold has been defined, we explicitly compute such quantum groups for a number of classical as well as noncommutative… Expand

65 6- PDF

Quantum Group of Orientation preserving Riemannian Isometries

- J. Bhowmick, Debashish Goswami
- Mathematics
- 23 June 2008

We formulate a quantum group analogue of the group of orinetation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly $R$-twisted in the sense of a… Expand

62 5- PDF

Compact quantum metric spaces from quantum groups of rapid decay

- J. Bhowmick, C. Voigt, J. Zacharias
- Mathematics
- 3 June 2014

We present a modified version of the definition of property RD for discrete quantum groups given by Vergnioux in order to accommodate examples of non-unimodular quantum groups. Moreover we extend the… Expand

8 4- PDF

Quantum isometry groups of noncommutative manifolds associated to group C∗-algebras

- J. Bhowmick, A. Skalski
- Mathematics
- 12 February 2010

Abstract Let Γ be a finitely generated discrete group. The standard spectral triple on the group C ∗ -algebra C ∗ ( Γ ) is shown to admit the quantum group of orientation preserving isometries. This… Expand

24 3- PDF

Quantum isometry group of the n-tori

- J. Bhowmick
- Mathematics
- 31 March 2008

We show that the quantum isometry group (introduced by Goswami) of the n-tori T n coincides with its classical isometry group; i.e. there does not exist any faithful isometric action on T n by a… Expand

14 2- PDF

Quantum isometries and group dual subgroups

- T. Banica, J. Bhowmick, K. Commer
- Mathematics
- 16 January 2012

We study the discrete groups $\Lambda$ whose duals embed into a given compact quantum group, $\hat{\Lambda}\subset G$. In the matrix case $G\subset U_n^+$ the embedding condition is equivalent to… Expand

16 2- PDF

Deformation of operator algebras by Borel cocycles

- J. Bhowmick, S. Neshveyev, A. Sangha
- Mathematics
- 11 July 2012

Assume that we are given a coaction \delta of a locally compact group G on a C*-algebra A and a T-valued Borel 2-cocycle \omega on G. Motivated by the approach of Kasprzak to Rieffel's deformation we… Expand

13 1- PDF

Levi-Civita connections for a class of spectral triples

- J. Bhowmick, Debashish Goswami, S. Mukhopadhyay
- Physics, Mathematics
- 16 September 2018

We give a new definition of Levi-Civita connection for a noncommutative pseudo-Riemannian metric on a noncommutative manifold given by a spectral triple. We prove the existence–uniqueness result for… Expand

8 1- PDF

Quantum Isometries of the Finite Noncommutative Geometry of the Standard Model

- J. Bhowmick, F. D’andrea, L. Da̧browski
- Mathematics, Physics
- 15 September 2010

We compute the quantum isometry group of the finite noncommutative geometry F describing the internal degrees of freedom in the Standard Model of particle physics. We show that this provides genuine… Expand

28- PDF