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Publications Influence

Quantum Group of Isometries in Classical and Noncommutative Geometry

- Debashish Goswami
- Mathematics, Physics
- 31 March 2007

We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a… Expand

102 10- PDF

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

Quantum Isometries and Noncommutative Spheres

- T. Banica, Debashish Goswami
- Mathematics
- 23 May 2009

We introduce and study two new examples of noncommutative spheres: the half-liberated sphere, and the free sphere. Together with the usual sphere, these two spheres have the property that the… Expand

54 4- PDF

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

- Debashish Goswami, Soumalya Joardar
- Mathematics
- 5 September 2013

Suppose that a compact quantum group $\clq$ acts faithfully on a smooth, compact, connected manifold $M$ such that the action $\alpha$ is smooth, i.e. it leaves $C^\infty(M)$ invariant and the linear… Expand

24 4

EVAPOTRANSPIRATION AND CROP COEFFICIENTS FOR SEEPAGE-IRRIGATED WATERMELON WITH PLASTIC MULCH IN A SUB-TROPICAL REGION

- S. Shukla, N. Shrestha, Debashish Goswami
- Environmental Science
- 2014

Abstract. The crop coefficient (K c ) method is the most widely used method for computing crop evapotranspiration (ET c ) and relies on selecting a representative K c value for a specific production… Expand

13 3

Nitrate-N loadings through subsurface environment to agricultural drainage ditches in two flat Midwestern (USA) watersheds

- Debashish Goswami, P. Kalita, R. A. Cooke, G. Mcisaac
- Environmental Science
- 1 June 2009

A study was conducted to understand the contributions of tile flow and baseflow to total nitrate-N (NO3-N) loadings in two subsurface (tile)-drained watersheds, namely the Big Ditch (BD) and the… Expand

19 2

Separability of rank two quantum states

- S. Albeverio, S. Fei, Debashish Goswami
- Physics
- 23 July 2001

Abstract Explicit sufficient and necessary conditions for separability of higher-dimensional quantum systems with rank two density matrices are given. A nonseparability inequality is also presented,… Expand

32 2- PDF

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

- Debashish Goswami, K. Sinha
- Mathematics
- 1 August 1999

Abstract:A general theory for constructing a weak Markov dilation of a uniformly continuous quantum dynamical semigroup Tt on a von Neumann algebra ? with respect to the Fock filtration is developed… Expand

55 2

Quantum Stochastic Processes and Noncommutative Geometry

- K. Sinha, Debashish Goswami
- Mathematics
- 25 January 2007

1. Introduction 2. Preliminaries 3. Quantum dynamical semigroups 4. Hilbert modules 5. Quantum stochastic calculus with bounded coefficients 6. Dilation of quantum dynamical semigroups with bounded… Expand

43 2- PDF