World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
8076
World Ranking
1585
National Ranking
58

Research.com Recognitions

  • 2004 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

Jiri Patera is affiliated with the University of Montreal in Canada. Their research spans multiple subfields of study, including Applied Mathematics, Mathematical Physics, Electrical and Electronic Engineering, Control and Systems Engineering, and Statistical and Nonlinear Physics.

Their recent publications cover topics primarily focused on mathematical analysis, algebra, geometry, and dynamical systems. Some of the main research topics associated with their work include:

  • Mathematical Analysis and Transform Methods
  • Advanced Algebra and Geometry
  • Graph Theory and CDMA Systems
  • Stability and Controllability of Differential Equations
  • Quantum Chaos and Dynamical Systems
  • Nonlinear Dynamics and Pattern Formation

Jiri Patera has contributed to several recent papers published between 2020 and 2023. These include:

  • "Central Splitting of A2 Discrete Fourier-Weyl Transforms", 2020, Symmetry
  • "Orthonormal Bases on \(L^2(\mathbb{R}^+)\)", 2020, arXiv (Cornell University)
  • "Orthonormal Bases on \(L^2(\mathbb{R}^+)\)", 2023, Journal of Advances in Mathematics and Computer Science
  • "Asymmetric harmonic oscillator", 2022, arXiv (Cornell University)

The most frequent publication venues for their work are:

  • arXiv (Cornell University)
  • Symmetry
  • Journal of Advances in Mathematics and Computer Science

Collaborations have been an integral part of their research, with several frequent co-authors including:

  • Goce Chadzitaskos
  • M. Havlíček
  • Jiří Hrivnák
  • Mariia Myronova

In 2004, Jiri Patera received the CAP-CRM Prize in Theoretical and Mathematical Physics, awarded by the Canadian Association of Physicists and Centre de Recherches Mathématiques.

Best Publications

  • Invariants of real low dimension Lie algebras

    J. Patera;R. T. Sharp;P. Winternitz;H. Zassenhaus

  • Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras

    Wendy G McKay;Jiri Patera

  • Subalgebras of real three‐ and four‐dimensional Lie algebras

    J. Patera;P. Winternitz

  • Continuous subgroups of the fundamental groups of physics. I. General method and the Poincaré group

    J. Patera;P. Winternitz;H. Zassenhaus

  • Everything you always wanted to know about SU(3) ⊃ 0(3)

    M Moshinsky;J Patera;R.T Sharp;P Winternitz

  • Quasicrystals and icosians

    R V Moody;J Patera

  • Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

    B. R. Judd;B. R. Judd;Willard Miller;J. Patera;P. Winternitz

  • Tables of Dominant Weight Multiplicities for Representations of Simple Lie Algebras

    M. R. Bremner;R. V. Moody;Jiri Patera

  • Discrete and continuous graded contractions of Lie algebras and superalgebras

    M de Montigny;J Patera

  • Discrete and continuous graded contractions of representations of Lie algebras

    R V Moody;J Patera

  • Characters of Elements of Finite Order in Lie Groups

    R. V. Moody;J. Patera

  • The Pauli matrices in n dimensions and finest gradings of simple Lie algebras

    Unknown

  • Continuous subgroups of the fundamental groups of physics. III. The de Sitter groups

    J. Patera;R. T. Sharp;P. Winternitz;H. Zassenhaus

  • Normal forms of elements of classical real and complex Lie and Jordan algebras

    D. Ž. Djoković;J. Patera;P. Winternitz;H. Zassenhaus

  • Subgroups of the Poincaré group and their invariants

    J. Patera;R. T. Sharp;P. Winternitz;H. Zassenhaus

  • The higher rank Virasoro algebras

    J. Patera;H. Zassenhaus

  • Affine Lie algebras, weight multiplicities, and branching rules

    Sam Kass;R. V. Moody;Jiri Patera;R. Slansky

  • Polynomial irreducible tensors for point groups

    J. Patera;R. T. Sharp;P. Winternitz

  • E-Orbit Functions

    Anatoliy U. Klimyk;Jiri Patera

  • On Lie gradings II

    Unknown

  • Fast recursion formula for weight multiplicities

    R. V. Moody;J. Patera

  • Continuous subgroups of the fundamental groups of physics. II. The similitude group

    J. Patera;P. Winternitz;H. Zassenhaus

Frequent Co-Authors

Pavel Winternitz
Pavel Winternitz University of Montreal
Robert V. Moody
Robert V. Moody University of Victoria
Hans Zassenhaus
Hans Zassenhaus The Ohio State University
David Sankoff
David Sankoff University of Ottawa
Willard Miller
Willard Miller University of Minnesota
Neil A. Dodgson
Neil A. Dodgson Victoria University of Wellington
Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
John Harnad
John Harnad University of Montreal
Jean-Pierre Gazeau
Jean-Pierre Gazeau Université Paris Cité

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