Debashish Goswami

发表

Separability of rank two quantum states

S. Fei, S. Albeverio, Debashish Goswami, 2001, quant-ph/0109089.

Quantum Galois groups of subfactors

Debashish Goswami, A. Chirvasitu, Suvrajit Bhattacharjee, 2021, International Journal of Mathematics.

Quantum Isometry Groups: Examples and Computations

Debashish Goswami, J. Bhowmick, Jyotishman Bhowmick, 2007, 0707.2648.

Local invariants for a class of mixed states

S. Fei, S. Albeverio, Debashish Goswami, 2005, quant-ph/0505156.

Some Noncommutative Geometric Aspects of SU_q(2)

Debashish Goswami, 2001, math-ph/0108003.

An Example of Physical Interest

Debashish Goswami, J. Bhowmick, Jyotishman Bhowmick, 2016 .

On the Koszul formula in noncommutative geometry

G. Landi, Debashish Goswami, J. Bhowmick, 2019, Reviews in Mathematical Physics.

Levi-Civita connections and vector fields for noncommutative differential calculi

G. Landi, Debashish Goswami, J. Bhowmick, 2020, 2001.01545.

Separability of rank two quantum states

S. Fei, S. Albeverio, Debashish Goswami, 2001, quant-ph/0109089.

A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras

S. Albeverio, Debashish Goswami, 2002, math-ph/0207047.

Minimal quantum dynamical semiguoup on a von Neumann algebra

Debashish Goswami, K. Sinha, 1999 .

Stochastic Dilation of Symmetric Completely Positive Semigroups

Debashish Goswami, K. Sinha, 2002, math-ph/0201005.

Hilbert Modules and Stochastic Dilation of a Quantum Dynamical Semigroup on a von Neumann Algebra

Debashish Goswami, K. Sinha, 1999 .

Local invariants for a class of mixed states

S. Fei, S. Albeverio, Debashish Goswami, 2005, quant-ph/0505156.

Quantum Random Walks and Vanishing of the Second Hochschild Cohomology

Debashish Goswami, Lingaraj Sahu, 2007, 0704.1755.

Dilation of a class of quantum dynamical semigroups

Debashish Goswami, K. Sinha, 2007 .

Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras

Debashish Goswami, K. Sinha, Lingaraj Sahu, 2003, math/0310452.

Probability and geometry on some noncommutative manifolds

Debashish Goswami, K. Sinha, P. Chakraborty, 2000, math/0012203.

Stochastic dilation of a quantum dynamical semigroup on a separable unital C ∗ algebra

Debashish Goswami, K. Sinha, Arupkumar Pal, 2000 .

Quantum Stochastic Processes and Noncommutative Geometry

Debashish Goswami, K. Sinha, 2007 .

A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients

Debashish Goswami, K. Sinha, Biswarup Das, 2014, Communications in Mathematical Physics.

Quantum Isometry Groups of Discrete Quantum Spaces

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Quantum Isometry Groups of Classical and Quantum Spheres

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Quantum Brownian Motion on Non-Commutative Manifolds: Construction, Deformation and Exit Times

Debashish Goswami, Biswarup Das, 2011, Communications in Mathematical Physics.

Some Counterexamples in the Theory of Quantum Isometry Groups

Debashish Goswami, Jyotishman Bhowmick, 2009, 0910.4713.

Invariants for normal completely positive maps on the hyperfinite II1 factor

Debashish Goswami, Lingaraj Sahu, 2006, math/0601358.

Rigidity of action of compact quantum groups on compact, connected manifolds

Debashish Goswami, Soumalya Joardar, 2013 .

A Complete Formulation of Baum-Conens' Conjecture for the Action of Discrete Quantum Groups

Debashish Goswami, A. O. Kuku, 2003, math/0310470.

Towards the Baum-Connes' Analytical Assembly Map for the Actions of Discrete Quantum Groups

Debashish Goswami, A. O. Kuku, 2002, math/0207303.

TWISTED ENTIRE CYCLIC COHOMOLOGY, J-L-O COCYCLES AND EQUIVARIANT SPECTRAL TRIPLES

Debashish Goswami, 2002, math-ph/0204010.

More Examples and Open Questions

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Quantum Isometry Groups of 0- Dimensional Manifolds

Adam G. Skalski, Debashish Goswami, Jyotishman Bhowmick, 2008, 0807.4288.

Generalized symmetry in noncommutative (complex) geometry

Debashish Goswami, I. Biswas, S. Bhattacharjee, 2019, 1907.04673.

Levi-Civita connections for a class of spectral triples

Debashish Goswami, S. Mukhopadhyay, Jyotishman Bhowmick, 2019, Letters in Mathematical Physics.

Levi-Civita connections for a class of spectral triples

Debashish Goswami, S. Mukhopadhyay, Jyotishman Bhowmick, 2018, Letters in Mathematical Physics.

A new look at Levi-Civita connection in noncommutative geometry

Debashish Goswami, Jyotishman Bhowmick, Soumalya Joardar, 2016, 1606.08142.

Quantum Isometries and Noncommutative Spheres

Debashish Goswami, T. Banica, 2009, 0905.3814.

Local equivalence of rank-2 quantum mixed states

S. Fei, S. Albeverio, Debashish Goswami, 2007, 0711.1210.

Mathematik in den Naturwissenschaften Leipzig Local Equivalence of Rank-Two Quantum Mixed States

S. Fei, S. Albeverio, Debashish Goswami, 2007 .

Hopf coactions on odd spheres

Debashish Goswami, S. Bhattacharjee, 2018, Journal of Algebra.

Hopf coactions on commutative algebras generated by a quadratically independent comodule

Chelsea M. Walton, Debashish Goswami, P. Etingof, 2015, 1507.08486.

Classical and Noncommutative Geometry

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds

Debashish Goswami, Soumalya Joardar, 2013, 1309.1294.

Rigidity of action of compact quantum groups III: the general case

Debashish Goswami, 2012, 1207.6470.

Invariants for normal completely positive maps on the hyperfinite II 1 factor

Debashish Goswami, Lingaraj Sahu, 2008 .

PROBABILITY AND GEOMETRY ON SOME

Debashish Goswami, K. Sinha, P. Chakraborty, 2003 .

A note on the injectivity of actions of compact quantum groups on a class of $C^{\ast }$-algebras

Debashish Goswami, Soumalya Joardar, 2018, Banach Center Publications.

Quantum symmetry on Potts model

Debashish Goswami, S. A. Hossain, 2021, Journal of Mathematical Physics.

Existence and Rigidity of Quantum Isometry Groups for Compact Metric Spaces

Debashish Goswami, A. Chirvasitu, 2019, Communications in Mathematical Physics.

Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds

Debashish Goswami, 2018, Advances in Mathematics.

Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds

Debashish Goswami, Soumalya Joardar, 2018, Geometric and Functional Analysis.

Quantum Symmetry of Classical Spaces

Debashish Goswami, 2018 .

An averaging trick for smooth actions of compact quantum groups on manifolds

Debashish Goswami, Soumalya Joardar, 2015, Indian journal of pure and applied mathematics.

An averaging trick for smooth actions of compact quantum groups on manifolds

Debashish Goswami, Soumalya Joardar, 2015, 1503.05357.

Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups

Debashish Goswami, 2015, Proceedings - Mathematical Sciences.

A note on geometric characterization of quantum isometries of classical manifolds

Debashish Goswami, Soumalya Joardar, 2014, 1410.8650.

Quantum Isometry group of dual of finitely generated discrete groups and quantum groups

Debashish Goswami, A. Mandal, 2014, 1408.5683.

Existence and examples of quantum isometry group for a class of compact metric spaces

Debashish Goswami, 2012, 1205.6099.

Existence of quantum isometry group for a class of compact metric spaces

Debashish Goswami, 2012 .

Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups

Debashish Goswami, 2011, 1106.5107.

On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set

Adam G. Skalski, Debashish Goswami, 2010, 1009.4726.

Quantum symmetries of classical spaces

Debashish Goswami, Jyotishman Bhowmick, S. Roy, 2009, 0903.1322.

Some remarks on the action of quantum isometry groups

Debashish Goswami, 2008, 0811.3063.

Quantum Isometry Group for Spectral Triples with Real Structure

Debashish Goswami, 2008, 0811.3066.

Quantum symmetries and quantum isometries of compact metric spaces

Debashish Goswami, 2008, 0811.0095.

Quantum isometry group of a compact metric space

Debashish Goswami, 2008 .

Quantum Isometry groups of the Podles Spheres

Debashish Goswami, Jyotishman Bhowmick, 2008, 0810.0658.

Quantum Group of Orientation preserving Riemannian Isometries

Debashish Goswami, Jyotishman Bhowmick, 2008, 0806.3687.

Quantum Group of Isometries in Classical and Noncommutative Geometry

Debashish Goswami, 2007, 0704.0041.

Quantum Isometry Group of Deformation: A Counterexample

Debashish Goswami, A. Mandal, 2019, Annales Mathématiques Blaise Pascal.

QUANTUM SYMMETRY GROUPS AND RELATED TOPICS WINTER SCHOOL ON OPERATOR SPACES, NONCOMMUTATIVE PROBABILITY AND QUANTUM GROUPS MÉTABIEF, DECEMBER 2014

Adam G. Skalski, Debashish Goswami, Jyotishman Bhowmick, 2014 .

Q A ] 2 5 A pr 2 01 2 Rigidity of action of compact quantum groups

Debashish Goswami, 2012 .

Ju n 20 08 Quantum Isometry Groups : Examples and Computations by

Debashish Goswami, Jyotishman Bhowmick, 2009 .

O A ] 3 O ct 2 00 8 Quantum isometry groups of the Podles Spheres by

Debashish Goswami, Jyotishman Bhowmick, 2009 .

Ju l 2 00 7 Quantum Isometry Groups : Examples and Computations by

Debashish Goswami, Jyotishman Bhowmick, 2009 .

Quantum Isometry Groups of Noncommutative Manifolds Obtained by Deformation Using Dual Unitary 2-Cocycles ?

Debashish Goswami, Soumalya Joardar, 2013, 1307.4850.

Definition and Existence of Quantum Isometry Groups

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Deformation by Dual Unitary Cocycles and Generalized Fixed Point Algebra for Quantum Group Actions

Debashish Goswami, Soumalya Joardar, 2015 .

Smooth actions of compact quantum groups on compact smooth manifolds

Debashish Goswami, Soumalya Joardar, 2015, 1507.08407.

Nonexistence of Genuine Smooth CQG Coactions on Classical Connected Manifolds

Debashish Goswami, Jyotishman Bhowmick, 2016 .

On equivariant embedding of Hilbert C* modules

Debashish Goswami, 2007, 0704.0110.

Quantum isometry groups: a brief overview

Debashish Goswami, 2010 .

Some Noncommutative Geometric Aspects of SU_q(2)

Debashish Goswami, 2001, math-ph/0108003.

Spectral Triples and Quantum Isometry Groups on Group $$C^{*}$$-Algebras

Debashish Goswami, Jyotishman Bhowmick, 2016 .

Amenable fusion algebraic actions of discrete quantum groups on compact quantum spaces

Debashish Goswami, Xiao Chen, Huichi Huang, 2021, Banach Journal of Mathematical Analysis.

Faithful actions of locally compact quantum groups on classical spaces

Debashish Goswami, Sutanu Roy, 2017, Letters in Mathematical Physics.

Dilation of Markovian cocycles on a von Neumann algebra

S. Wills, Debashish Goswami, J. Lindsay, 2003 .

A stochastic Stinespring Theorem

S. Wills, Debashish Goswami, J. Lindsay, 2001 .

Levi-Civita connections for conformally deformed metrics on tame differential calculi

Debashish Goswami, Soumalya Joardar, Jyotishman Bhowmick, 2021, International Journal of Mathematics.