Prof. Miriam Cohen
Born: 1941, Israel
Academic Qualifications:
    Ph.D. 1976, Tel Aviv Univ.
    Professor and Dean of Faculty 1997.
Academic Positions:
Department of Mathematics - Professor

Research Interests:
Noncommutative alegbras. Hopf algebras.
Research Projects:
Abstracts of Current Research:
  • Fourier transforms for Hopf algebras: All finite dimensional and some infinite dimensional Hopf algebras give rise to integrals which define in turn Fourier Transorms for these Hopf algebras. We study these transforms and the convolution product induced by them and further study Quantum Fourier transforms F. We apply F to give a purely algebraic proof of the Verlinde formula for semisimple factorizable Hopf algebras.
  • Characters and a Verlinde-type formula for Symmetric Hopf algebras: We study certain aspects of finite dimensional non-semisimple symmetric Hopf algebras H and their duals. We focus on the set of characters of projective H-modules and prove that under cetain conditions there exists a Steinberg-like character . We also prove a Verlinde-type formula for a certain well-known ideal of the center of H.
Publications:
  • M. Cohen, Zhu Shenglin. Invariants of the adjoint coaction and Yetter-Drinfeld modules J. of Pure and Applied Algebra 159: 149-171 (2001)
  • Cohen, M., Westreich, S.R. & Zhu, S.. Determinants Integrality and Noether's theorem for Quantum Commutative Algebras. Israel J. of Mathematics 96: 185-22 (1997)
  • Cohen, M. & Westeich, S.. Determinants and symametries in Yetter-Drinfeld categories. Applied categorical structures Kluwer Academic Pub.: (1997)
Keywords:
Phones:
  1. Phone: 972-8-6461611
  2. Phone: 972-8-6517361
  3. Fax: 972-8-6472910
Email:mia@math.bgu.ac.il