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## Goswami, Debashish

Compute Distance To:
 Author ID: goswami.debashish Published as: Goswami, D.; Goswami, Debashish External Links: MGP · Wikidata
 Documents Indexed: 59 Publications since 1982, including 2 Books Reviewing Activity: 20 Reviews
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#### Co-Authors

 11 single-authored 11 Sinha, Kalyan B. 9 Bhowmick, Jyotishman 5 Joardar, Soumalya 4 Albeverio, Sergio A. 3 Fei, Shaoming 3 Mandal, Arnab 3 Sahu, Lingaraj 2 Chakraborty, Partha Sarathi 2 Das, Biswarup 2 Landi, Giovanni 2 Lindsay, J. Martin 2 Skalski, Adam G. 2 Wills, Stephen J. 1 Banica, Teodor 1 Bhattacharjee, Suvrajit 1 Chirvăsitu, Alexandru 1 Etingof, Pavel Il’ich 1 Kuku, Aderemi O. 1 Mukhopadhyay, Sugato 1 Pal, Arup Kumar 1 Roy, Sutanu 1 Walton, Chelsea
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#### Serials

 7 Communications in Mathematical Physics 4 Letters in Mathematical Physics 3 Reviews in Mathematical Physics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Physics Letters. A 2 Advances in Mathematics 2 Journal of Functional Analysis 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Algebra 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Algebra 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Sankhyā. Series A. Methods and Techniques 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 $$K$$-Theory 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales Mathématiques Blaise Pascal 1 Cambridge Tracts in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Communications on Stochastic Analysis 1 Infosys Science Foundation Series
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#### Fields

 33 Functional analysis (46-XX) 33 Quantum theory (81-XX) 24 Global analysis, analysis on manifolds (58-XX) 9 Nonassociative rings and algebras (17-XX) 7 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 2 Differential geometry (53-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX)

#### Citations contained in zbMATH

42 Publications have been cited 309 times in 137 Documents Cited by Year
Quantum group of isometries in classical and noncommutative geometry. Zbl 1228.81188
Goswami, Debashish
2009
Quantum group of orientation-preserving Riemannian isometries. Zbl 1180.58005
Bhowmick, Jyotishman; Goswami, Debashish
2009
Quantum isometry groups: Examples and computations. Zbl 1159.81028
Bhowmick, Jyotishman; Goswami, Debashish
2009
Quantum isometries and noncommutative spheres. Zbl 1204.58004
Banica, Teodor; Goswami, Debashish
2010
Quantum isometry groups of 0-dimensional manifolds. Zbl 1213.58004
Bhowmick, Jyotishman; Goswami, Debashish; Skalski, Adam
2011
Quantum stochastic processes and noncommutative geometry. Zbl 1144.81002
Sinha, Kalyan B.; Goswami, Debashish
2007
Existence and examples of quantum isometry groups for a class of compact metric spaces. Zbl 1316.81055
Goswami, Debashish
2015
Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra. Zbl 0935.46055
Goswami, Debashish; Sinha, Kalyan B.
1999
Quantum isometry groups of the Podles spheres. Zbl 1210.58005
Bhowmick, Jyotishman; Goswami, Debashish
2010
Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds. Zbl 1433.81103
Goswami, Debashish; Joardar, Soumalya
2018
Quantum isometry groups. Zbl 1381.81004
Goswami, Debashish; Bhowmick, Jyotishman
2016
An averaging trick for smooth actions of compact quantum groups on manifolds. Zbl 1347.58002
Goswami, Debashish; Joardar, Soumalya
2015
Quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles. Zbl 1297.58004
Goswami, Debashish; Joardar, Soumalya
2014
Twisted entire cyclic cohomology, J-L-O cocycles and equivariant spectral triples. Zbl 1062.58011
Goswami, Debashish
2004
Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups. Zbl 1312.81100
Goswami, Debashish
2015
Local invariants for a class of mixed states. Zbl 1145.81308
Albeverio, Sergio; Fei, Shao-Ming; Goswami, Debashish
2005
Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds. Zbl 1439.81061
Goswami, Debashish
2020
Quantum isometry groups of dual of finitely generated discrete groups and quantum groups. Zbl 1360.58006
Goswami, Debashish; Mandal, Arnab
2017
Quantum isometry group for spectral triples with real structure. Zbl 1191.58004
Goswami, Debashish
2010
A complete formulation of the Baum-Connes conjecture for the action of discrete quantum groups. Zbl 1051.19003
Goswami, Debashish; Kuku, A. O.
2003
A remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras. Zbl 1060.46047
Albeverio, Sergio; Goswami, Debashish
2002
Separability of rank two quantum states. Zbl 0969.81531
Albeverio, S.; Fei, S.-M.; Goswami, D.
2001
Levi-Civita connections for a class of spectral triples. Zbl 1437.58007
Bhowmick, Jyotishman; Goswami, Debashish; Mukhopadhyay, Sugato
2020
Hopf coactions on commutative algebras generated by a quadratically independent comodule. Zbl 1395.16037
Etingof, Pavel; Goswami, Debashish; Mandal, Arnab; Walton, Chelsea
2017
Quantum Brownian motion on non-commutative manifolds: Construction, deformation and exit times. Zbl 1236.58017
Das, Biswarup; Goswami, Debashish
2012
Probability and geometry on some noncommutative manifolds. Zbl 1030.46102
Chakraborty, Partha Sarathi; Goswami, Debashish; Sinha, Kalyan B.
2003
A homomorphism theorem and a Trotter product formula for quantum stochastic flows with unbounded coefficients. Zbl 1302.81119
Das, Biswarup; Goswami, Debashish; Sinha, Kalyan B.
2014
Quantum random walks and vanishing of the second Hochschild cohomology. Zbl 1156.81027
Goswami, Debashish; Sahu, Lingaraj
2008
Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras. Zbl 1072.81038
Goswami, Debashish; Sahu, Lingaraj; Sinha, Kalyan B.
2005
Dilation of Markovian cocycles on a von Neumann algebra. Zbl 1059.46052
Goswami, Debashish; Lindsay, J. Martin; Sinha, Kalyan B.; Wills, Stephen J.
2003
A stochastic Stinespring theorem. Zbl 0981.46052
Goswami, Debashish; Lindsay, J. Martin; Wills, Stephen J.
2001
A covariant quantum stochastic dilation theory. Zbl 0982.46056
Chakraborty, Partha Sarathi; Goswami, Debashish; Sinha, Kalyan B.
2000
Minimal quantum dynamical semigroup on a von Neumann algebra. Zbl 0966.46046
Goswami, Debashish; Sinha, Kalyan B.
1999
Existence and rigidity of quantum isometry groups for compact metric spaces. Zbl 07286854
Chirvasitu, Alexandru; Goswami, Debashish
2020
Levi-Civita connections and vector fields for noncommutative differential calculi. Zbl 07268549
Bhowmick, Jyotishman; Goswami, Debashish; Landi, Giovanni
2020
Faithful actions of locally compact quantum groups on classical spaces. Zbl 1375.81139
Goswami, Debashish; Roy, Sutanu
2017
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set. Zbl 1272.81097
2012
Some counterexamples in the theory of quantum isometry groups. Zbl 1204.58005
Bhowmick, Jyotishman; Goswami, Debashish
2010
Dilation of a class of quantum dynamical semigroups. Zbl 1328.81142
Goswami, Debashish; Sinha, Kalyan B.
2007
Local equivalence of rank-2 quantum mixed states. Zbl 1122.81018
Albeverio, Sergio; Fei, Shao-Ming; Goswami, Debashish
2007
Invariants for normal completely positive maps on the hyperfinite $$II_1$$ factor. Zbl 1113.46311
Goswami, Debashish; Sahu, Lingaraj
2006
Stochastic dilation of a quantum dynamical semigroup on a separable unital $$C^*$$ algebra. Zbl 1243.81103
Goswami, Debashish; Pal, Arup Kumar; Sinha, Kalyan B.
2000
Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds. Zbl 1439.81061
Goswami, Debashish
2020
Levi-Civita connections for a class of spectral triples. Zbl 1437.58007
Bhowmick, Jyotishman; Goswami, Debashish; Mukhopadhyay, Sugato
2020
Existence and rigidity of quantum isometry groups for compact metric spaces. Zbl 07286854
Chirvasitu, Alexandru; Goswami, Debashish
2020
Levi-Civita connections and vector fields for noncommutative differential calculi. Zbl 07268549
Bhowmick, Jyotishman; Goswami, Debashish; Landi, Giovanni
2020
Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds. Zbl 1433.81103
Goswami, Debashish; Joardar, Soumalya
2018
Quantum isometry groups of dual of finitely generated discrete groups and quantum groups. Zbl 1360.58006
Goswami, Debashish; Mandal, Arnab
2017
Hopf coactions on commutative algebras generated by a quadratically independent comodule. Zbl 1395.16037
Etingof, Pavel; Goswami, Debashish; Mandal, Arnab; Walton, Chelsea
2017
Faithful actions of locally compact quantum groups on classical spaces. Zbl 1375.81139
Goswami, Debashish; Roy, Sutanu
2017
Quantum isometry groups. Zbl 1381.81004
Goswami, Debashish; Bhowmick, Jyotishman
2016
Existence and examples of quantum isometry groups for a class of compact metric spaces. Zbl 1316.81055
Goswami, Debashish
2015
An averaging trick for smooth actions of compact quantum groups on manifolds. Zbl 1347.58002
Goswami, Debashish; Joardar, Soumalya
2015
Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups. Zbl 1312.81100
Goswami, Debashish
2015
Quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles. Zbl 1297.58004
Goswami, Debashish; Joardar, Soumalya
2014
A homomorphism theorem and a Trotter product formula for quantum stochastic flows with unbounded coefficients. Zbl 1302.81119
Das, Biswarup; Goswami, Debashish; Sinha, Kalyan B.
2014
Quantum Brownian motion on non-commutative manifolds: Construction, deformation and exit times. Zbl 1236.58017
Das, Biswarup; Goswami, Debashish
2012
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set. Zbl 1272.81097
2012
Quantum isometry groups of 0-dimensional manifolds. Zbl 1213.58004
Bhowmick, Jyotishman; Goswami, Debashish; Skalski, Adam
2011
Quantum isometries and noncommutative spheres. Zbl 1204.58004
Banica, Teodor; Goswami, Debashish
2010
Quantum isometry groups of the Podles spheres. Zbl 1210.58005
Bhowmick, Jyotishman; Goswami, Debashish
2010
Quantum isometry group for spectral triples with real structure. Zbl 1191.58004
Goswami, Debashish
2010
Some counterexamples in the theory of quantum isometry groups. Zbl 1204.58005
Bhowmick, Jyotishman; Goswami, Debashish
2010
Quantum group of isometries in classical and noncommutative geometry. Zbl 1228.81188
Goswami, Debashish
2009
Quantum group of orientation-preserving Riemannian isometries. Zbl 1180.58005
Bhowmick, Jyotishman; Goswami, Debashish
2009
Quantum isometry groups: Examples and computations. Zbl 1159.81028
Bhowmick, Jyotishman; Goswami, Debashish
2009
Quantum random walks and vanishing of the second Hochschild cohomology. Zbl 1156.81027
Goswami, Debashish; Sahu, Lingaraj
2008
Quantum stochastic processes and noncommutative geometry. Zbl 1144.81002
Sinha, Kalyan B.; Goswami, Debashish
2007
Dilation of a class of quantum dynamical semigroups. Zbl 1328.81142
Goswami, Debashish; Sinha, Kalyan B.
2007
Local equivalence of rank-2 quantum mixed states. Zbl 1122.81018
Albeverio, Sergio; Fei, Shao-Ming; Goswami, Debashish
2007
Invariants for normal completely positive maps on the hyperfinite $$II_1$$ factor. Zbl 1113.46311
Goswami, Debashish; Sahu, Lingaraj
2006
Local invariants for a class of mixed states. Zbl 1145.81308
Albeverio, Sergio; Fei, Shao-Ming; Goswami, Debashish
2005
Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras. Zbl 1072.81038
Goswami, Debashish; Sahu, Lingaraj; Sinha, Kalyan B.
2005
Twisted entire cyclic cohomology, J-L-O cocycles and equivariant spectral triples. Zbl 1062.58011
Goswami, Debashish
2004
A complete formulation of the Baum-Connes conjecture for the action of discrete quantum groups. Zbl 1051.19003
Goswami, Debashish; Kuku, A. O.
2003
Probability and geometry on some noncommutative manifolds. Zbl 1030.46102
Chakraborty, Partha Sarathi; Goswami, Debashish; Sinha, Kalyan B.
2003
Dilation of Markovian cocycles on a von Neumann algebra. Zbl 1059.46052
Goswami, Debashish; Lindsay, J. Martin; Sinha, Kalyan B.; Wills, Stephen J.
2003
A remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras. Zbl 1060.46047
Albeverio, Sergio; Goswami, Debashish
2002
Separability of rank two quantum states. Zbl 0969.81531
Albeverio, S.; Fei, S.-M.; Goswami, D.
2001
A stochastic Stinespring theorem. Zbl 0981.46052
Goswami, Debashish; Lindsay, J. Martin; Wills, Stephen J.
2001
A covariant quantum stochastic dilation theory. Zbl 0982.46056
Chakraborty, Partha Sarathi; Goswami, Debashish; Sinha, Kalyan B.
2000
Stochastic dilation of a quantum dynamical semigroup on a separable unital $$C^*$$ algebra. Zbl 1243.81103
Goswami, Debashish; Pal, Arup Kumar; Sinha, Kalyan B.
2000
Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra. Zbl 0935.46055
Goswami, Debashish; Sinha, Kalyan B.
1999
Minimal quantum dynamical semigroup on a von Neumann algebra. Zbl 0966.46046
Goswami, Debashish; Sinha, Kalyan B.
1999
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#### Cited by 117 Authors

 29 Goswami, Debashish 20 Banica, Teodor 15 Bhowmick, Jyotishman 9 Mandal, Arnab 9 Sinha, Kalyan B. 9 Skalski, Adam G. 7 Fei, Shaoming 6 Joardar, Soumalya 5 Chirvăsitu, Alexandru 5 Skeide, Michael 4 Das, Biswarup 4 Fagnola, Franco 4 Li-Jost, Xianqing 4 Lindsay, J. Martin 4 Sahu, Lingaraj 4 Sołtan, Piotr Mikołaj 4 Weber, Moritz 3 Ji, Un Cig 3 Jing, Naihuan 3 Walton, Chelsea 3 Zhang, Tinggui 2 Albeverio, Sergio A. 2 Bhat, B. V. Rajarama 2 Bichon, Julien 2 Chou, Chia-Chun 2 Dabrowski, Ludwik 2 D’Andrea, Francesco 2 Etingof, Pavel Il’ich 2 Heo, Jaeseong 2 Huang, Huichi 2 Huang, Xiaofen 2 Landi, Giovanni 2 Mukhopadhyay, Sugato 2 Patri, Issan 2 Raum, Sven 2 Roy, Sutanu 2 Schlenker, Jean-Marc 2 Umanità, Veronica 2 Vergnioux, Roland 2 Wang, Xiaohong 2 Wyatt, Robert E. 2 Zhao, Ming-Jing 1 Accardi, Luigi 1 Andersson, Andreas 1 Arizmendi, Octavio 1 Attal, Stéphane 1 Banacki, Michał 1 Belavkin, Viacheslav 1 Belinschi, Serban Teodor 1 Belton, Alexander C. R. 1 Bhattacharjee, Suvrajit 1 Boukas, Andreas 1 Carey, Alan L. 1 Cattaneo, Laura 1 Chakraborty, Partha Sarathi 1 Chang, Jingmei 1 Collins, Benoît 1 Cui, Meiyu 1 Curran, Stephen M. 1 De Commer, Kenny 1 De Sadeleer, Liebrecht 1 Deschamps, Julien 1 Dosi, Anar Adygezal 1 Gaebler, David J. 1 Gao, Xiuhong 1 García-March, Miguel Ángel 1 Gregory, Lee 1 Hellmich, Jürgen 1 Honegger, Reinhard 1 Kaliszewski, Steven P. 1 Ko, Chul Ki 1 Kornell, Andre 1 Köstler, Claus 1 Krähmer, Ulrich 1 Kucerovsky, Dan Z. 1 Kumar, Dharmendra 1 Kümmerer, Burkhard 1 Lampo, Aniello 1 Landstad, Magnus B. 1 Lewenstein, Maciej 1 Liebscher, Volkmar 1 Lim, Soon Hoe 1 Lipyanski, Ruvim 1 Liszka-Dalecki, Jan 1 Mahanta, Snigdhayan 1 Marciniak, Marcin 1 Mészáros, Szabolcs 1 Mokhtar-Kharroubi, Mustapha 1 Mora, Carlos M. 1 Neshveyev, Sergey V. 1 Pal, Arup Kumar 1 Park, Yong Moon 1 Phillips, John 1 Qiu, Daowen 1 Quaegebeur, Johan 1 Quigg, John C. 1 Rennie, Adam 1 Rieckers, Alfred 1 Sabbe, Marie 1 Sasso, Emanuela ...and 17 more Authors
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#### Cited in 48 Serials

 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Communications in Mathematical Physics 9 Journal of Geometry and Physics 8 Journal of Functional Analysis 7 Letters in Mathematical Physics 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Journal of Noncommutative Geometry 5 Indian Journal of Pure & Applied Mathematics 4 Journal of Mathematical Physics 4 Annales Mathématiques Blaise Pascal 3 International Journal of Theoretical Physics 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Proceedings of the American Mathematical Society 3 International Journal of Mathematics 3 International Journal of Quantum Information 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Algebra 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Annals of Physics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Advances in Operator Theory 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Journal of Combinatorial Theory. Series A 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Algebra Colloquium 1 Algebras and Representation Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Topology and Analysis 1 Journal of $$K$$-Theory
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#### Cited in 21 Fields

 96 Functional analysis (46-XX) 62 Quantum theory (81-XX) 37 Global analysis, analysis on manifolds (58-XX) 26 Associative rings and algebras (16-XX) 25 Nonassociative rings and algebras (17-XX) 18 Probability theory and stochastic processes (60-XX) 15 Operator theory (47-XX) 9 Group theory and generalizations (20-XX) 6 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 3 Partial differential equations (35-XX) 2 Algebraic geometry (14-XX) 2 $$K$$-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Wikidata Timeline

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