activity
20002026
most citedQuantum Group of Isometries in Classical and Noncommutative Geometry

50 citations · 330 across the 53 of their papers we have counts for

collaborators

63 papers

math.QA2026

Outer action of representation category of discrete quantum groups: a case study

Debashish Goswami, Suchetana Samadder

Given any tracial von Neumann algebra , the first author has defined a unitary tensor functor $Φ:{\rm Rep}(\mathcal{Q}_{\rm aut}(\mathcal{A}))\to {\rm Bimod}(\mathcal{…

math.QA2026

Projective corepresentations and cohomology of compact quantum groups

Debashish Goswami, Prabuddha Chakraborty, Kiran Maity

We study projective unitary (co)representations of compact quantum groups and the associated second cohomology theory. We introduce left/right/bi/strongly projective corepresentati…

math.OA2026

Weak quantum hypergroups from finite index C*-inclusions

Keshab Chandra Bakshi, Debashish Goswami, Biplab Pal

We study a finite index inclusion of simple unital C*-algebras and construct a canonical completely positive coproduct on the second relative commutant, thereby endowing it with a…

math.QA2025

Second invariant cohomology of some finite-dimensional Hopf algebras

Debashish Goswami, Kiran Maity

We use categorical description of the invariant 2-cohomology group of Hopf algebra to compute such cohomology for two finite dimensional Hopf algebras: the group ring of $Z_8\rtime…

math.QA2025

Linear coactions of discrete quantum groups on the circle

Debashish Goswami, Suchetana Samadder

For a (unital) -algebra $\cla$, we construct a -algebraic discrete quantum group (DQG) $\clq_{\rm aut}(\cla)$, coacting on $\cla$, which is a quantum generalization of ${…

math.OA2025

On outer automorphisms of certain graph -algebras

Swarnendu Datta, Debashish Goswami, Soumalya Joardar

Given a countable abelian group , we construct a row finite directed graph such that the -group of the graph -algebra …