215 citations · 1.5k across the 79 of their papers we have counts for
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Relation of The New Calogero Models and xxz Spin Chains
V. Karimipour
We extend our previous analysis of the classical integrable models of Calogero in several respects. Firstly we provide the algebraic resaons of their quantum integrability.Secondly…
Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero
V. Karimipour
We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian $ H = \sum_{j,k}^{N} p_j p_k \{λ+ μcos [ ν( q_j - q_k)] \}…
Lattice Topological Field Theory on Non-Orientable Surfaces
Vahid Karimipour, Ali Mostafazadeh
The lattice definition of the two-dimensional topological quantum field theory [Fukuma, {\em et al}, Commun.~Math.~Phys.\ {\bf 161}, 157 (1994)] is generalized to arbitrary (not ne…
Bicovariant Differential Geometry of the Quantum Group
Vahid Karimipour
There are only two quantum group structures on the space of two by two unimodular matrices, these are the and the [9-13] quantum groups. One can not construct a…
Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)
V. Karimipour
We present a detailed study of the representations of the algebra of functions on the quantum group . A q-analouge of the root system is constructed for this algebra whi…
Representations of The Coordinate Ring of }
Vahid Karimipour
It is shown that the finite dimensional irreducible representations of the quantum matrix algebra ( the coordinate ring of ) exist only when q is a root of u…
The quantum de Rham complexes associated with
Vahid Karimipour
Quantum de Rham complexes on the quantum plane and the quantum group itself are constructed for the Zakrewski deformation of . As a by-product a new deformation of…
Q-Boson Representation of the Quantum Matrix Algebra
Vahid Karimipour
{Although q-oscillators have been used extensively for realization of quantum universal enveloping algebras,such realization do not exist for quantum matrix algebras ( deformation…
Representations of The Coordinate Ring of
Vahid Karimipour
It is shown that the finite dimensional ireducible representations of the quantum matrix algebra ( the coordinate ring of ) exist only when q is a root of un…
Representations of the quantum matrix algebra
Vahid Karimipour
It is shown that the finite dimensional irreducible representaions of the quantum matrix algebra ( the coordinate ring of ) exist only when both q an…