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Sofiane Bouarroudj

Associate Professor of Mathematics and Program Head of Mathematics

    19982020
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    Research Output 1998 2020

    2020

    SO(4)-symmetry of mechanical systems with 3 degrees of freedom

    Bouarroudj, S. & Konstein, S. E., Jan 2 2020, In : Journal of Nonlinear Mathematical Physics. 27, 1, p. 162-169 8 p.

    Research output: Contribution to journalArticle

    First Integral
    Mechanical Systems
    Figure
    degrees of freedom
    Degree of freedom
    2018

    Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form

    Benayadi, S. & Bouarroudj, S., Sep 15 2018, In : Journal of Algebra. 510, p. 141-179 39 p.

    Research output: Contribution to journalArticle

    Lie Superalgebra
    Bilinear form
    Invariant
    Cartan Matrix
    Central Element

    Invariant differential operators in positive characteristic

    Bouarroudj, S. & Leites, D., Apr 1 2018, In : Journal of Algebra. 499, p. 281-297 17 p.

    Research output: Contribution to journalArticle

    Invariant Differential Operators
    Positive Characteristic
    Operator
    Unary
    Analogue

    Non-degenerate Invariant (Super)Symmetric Bilinear Forms on Simple Lie (Super)Algebras

    Bouarroudj, S., Krutov, A., Leites, D. & Shchepochkina, I., Jun 27 2018, (Accepted/In press) In : Algebras and Representation Theory. p. 1-45 45 p.

    Research output: Contribution to journalArticle

    Lie Superalgebra
    Bilinear form
    Invariant
    Cartan Matrix
    Superalgebra

    Restricted Lie (Super)Algebras in Characteristic 3

    Bouarroudj, S., Krutov, A. O., Lebedev, A. V., Leites, D. A. & Shchepochkina, I. M., Jan 1 2018, In : Functional Analysis and its Applications. 52, 1, p. 49-52 4 p.

    Research output: Contribution to journalArticle

    Lie Superalgebra
    Algebra
    Cartan Matrix
    Divergence-free
    Superalgebra

    The classical dynamic symmetry for the U(1)-Kepler problems

    Bouarroudj, S. & Meng, G., Jan 1 2018, In : Journal of Geometry and Physics. 124, p. 1-15 15 p.

    Research output: Contribution to journalArticle

    Kepler
    algebra
    Poisson Manifolds
    Symmetry
    Hermitian matrix
    2017

    The classical dynamic symmetry for the Sp(1)-kepler problems

    Bouarroudj, S. & Meng, G., Sep 1 2017, In : Journal of Mathematical Physics. 58, 9, 1.5001688.

    Research output: Contribution to journalArticle

    Kepler
    Siméon Denis Poisson
    algebra
    Symmetry
    symmetry
    2016

    New Simple Lie Algebras in Characteristic 2

    Bouarroudj, S., Grozman, P., Lebedev, A., Leites, D. & Shchepochkina, I., Jan 1 2016, In : International Mathematics Research Notices. 2016, 18, p. 5695-5726 32 p.

    Research output: Contribution to journalArticle

    Simple Lie Algebra
    Lie Superalgebra
    Lie Algebra
    Positive Characteristic
    Finite Dimensional Algebra
    2015

    Lie algebra deformations in characteristic 2

    Bouarroudj, S., Lebedev, A., Leites, D. & Shchepochkina, I., Jan 1 2015, In : Mathematical Research Letters. 22, 2, p. 353-402 50 p.

    Research output: Contribution to journalArticle

    Lie Algebra
    Algebra
    Alternate
    Graded Lie Algebras
    Simple Lie Algebra

    Riemannian curl in contact geometry

    Bouarroudj, S. & Ovsienko, V., Jan 1 2015, In : International Mathematics Research Notices. 2015, 12, p. 3917-3942 26 p.

    Research output: Contribution to journalArticle

    Contact Geometry
    Curl
    Contact
    Contact Manifold
    Metric
    2012

    Minkowski superspaces and superstrings as almost real-complex supermanifolds

    Bouarroudj, S., Grozman, P. Y., Leites, D. A. & Shchepochkina, I. M., Dec 1 2012, In : Theoretical and Mathematical Physics. 173, 3, p. 1687-1708 22 p.

    Research output: Contribution to journalArticle

    Supermanifold
    Superspaces
    Superstring
    Nijenhuis Tensor
    tensors
    2011

    Deformations of the Lie algebra o(5) in characteristics 3 and 2

    Bouarroudj, S., Lebedev, A. V. & Wagemann, F., Jun 1 2011, In : Mathematical Notes. 89, 5, p. 777-791 15 p.

    Research output: Contribution to journalArticle

    Lie Algebra
    Cartan Matrix
    Isomorphism Classes
    Algebra
    Simple Lie Algebra
    2010

    Defining relations of almost affine (hyperbolic) Lie superalgebras

    Bouarroudj, S., Grozman, P. & Leites, D., Nov 1 2010, In : Journal of Nonlinear Mathematical Physics. 17, SUPPL. 1, p. 163-168 6 p.

    Research output: Contribution to journalArticle

    Defining Relations
    Lie Superalgebra
    generators
    Generator

    Divided power (co)homology. presentations of simple finite dimensional modular lie superalgebras with cartan matrix

    Bouarroudj, S., Grozman, P., Lebedev, A. & Leites, D., Jan 1 2010, In : Homology, Homotopy and Applications. 12, 1, p. 237-278 42 p.

    Research output: Contribution to journalArticle

    Cartan Matrix
    Lie Superalgebra
    Homology
    Generator
    Dynkin Diagram
    2009
    Cartan Matrix
    Lie Superalgebra
    Dynkin Diagram
    Generator
    Simple Lie Algebra

    Ternary invariant differential operators acting on spaces of weighted densities

    Bouarroudj, S., Feb 1 2009, In : Theoretical and Mathematical Physics. 158, 2, p. 137-150 14 p.

    Research output: Contribution to journalArticle

    Invariant Differential Operators
    differential operators
    Ternary
    operators
    Operator
    2008

    New simple modular Lie superalgebras as generalized prolongs

    Bouarroudj, S., Grozman, P. Y. & Leites, D. A., Jul 1 2008, In : Functional Analysis and its Applications. 42, 3, p. 161-168 8 p.

    Research output: Contribution to journalArticle

    Lie Superalgebra
    Algebra
    Cartan Matrix
    Prolongation
    Finite Dimensional Algebra
    2007

    On sl(2)-equivariant quantizations

    Bouarroudj, S. & Ayari, M. I., Apr 1 2007, In : Journal of Nonlinear Mathematical Physics. 14, 2, p. 179-187 9 p.

    Research output: Contribution to journalArticle

    Equivariant
    embedding
    Quantization
    Lie Algebra
    algebra
    differential operators
    homology
    Differential operator
    Cohomology
    Vector Field

    Simple Lie superalgebras and nonintegrable distributions in characteristic p

    Bouarroudj, S. & Leites, D., Mar 1 2007, In : Journal of Mathematical Sciences. 141, 4, p. 1390-1398 9 p.

    Research output: Contribution to journalArticle

    Simple Lie Algebra
    Lie Superalgebra
    Algebra
    Lie Algebra
    Series

    The space of m-ary differential operators as a module over the Lie algebra of vector fields

    Bouarroudj, S., May 1 2007, In : Journal of Geometry and Physics. 57, 6, p. 1441-1456 16 p.

    Research output: Contribution to journalArticle

    differential operators
    Differential operator
    Vector Field
    Lie Algebra
    algebra
    2006
    differential operators
    homology
    algebra
    tensors
    operators
    2005
    differential operators
    homology
    algebra
    coefficients
    tensors
    2004

    Remarks on the Schwarzian derivatives and the invariant quantization by means of a Finsler function

    Bouarroudj, S., Sep 27 2004, In : Indagationes Mathematicae. 15, 3, p. 321-338 18 p.

    Research output: Contribution to journalArticle

    Schwarzian Derivative
    Cocycle
    Quantization
    Bundle
    Finsler Manifold
    2002
    Group of Diffeomorphisms
    Cohomology of Groups
    Linear Differential Operator
    differential operators
    Smooth Manifold

    Conformal Schwarzian derivatives and conformally invariant quantization

    Bouarroudj, S., Sep 17 2002, In : International Mathematics Research Notices. 29, p. 1553-1570 18 p.

    Research output: Contribution to journalArticle

    Schwarzian Derivative
    Quantization
    Invariant

    Projectively Invariant Cocycles of Holomorphic Vector Fields on an Open Riemann Surface

    Bouarroudj, S. & Hichem, G., Jan 1 2002, In : Tokyo Journal of Mathematics. 25, 1, p. 33-40 8 p.

    Research output: Contribution to journalArticle

    Holomorphic Vector Field
    Projective Structure
    Cocycle
    Riemann Surface
    Lie Algebra
    2001

    A new higher-dimensional generalization of the Schwarzian derivative

    Bouarroudj, S., Dec 1 2001, In : Progress of Theoretical Physics Supplement. 144, p. 22-25 4 p.

    Research output: Contribution to journalArticle

    differential operators
    tensors
    Quantization
    Group of Diffeomorphisms
    Linear Differential Operator
    Invariant
    Explicit Formula
    2000

    Projectively equivariant quantization map

    Bouarroudj, S., Jan 1 2000, In : Letters in Mathematical Physics. 51, 4, p. 265-274 10 p.

    Research output: Contribution to journalArticle

    Affine Connection
    Equivariant
    Quantization
    Group of Diffeomorphisms
    isomorphism
    1998

    Three Cocycles on Diff(S1) Generalizing the Schwarzian Derivative

    Bouarroudj, S. & Ovsienko, V. Y., Dec 1 1998, In : International Mathematics Research Notices. 1, p. 24-39 16 p.

    Research output: Contribution to journalArticle

    Schwarzian Derivative
    Cocycle