Seminars & Colloquia Calendar

Download as iCal file

Lie Group Quantum Mathematics Seminar

Zero-mode derivations and the completely reducibility of generalized modules for a grading-restricted vertex algebra

Yi-Zhi Huang, Rutgers University

Location:  Hill 705
Date & time: Friday, 21 September 2018 at 12:00PM - 1:00PM

  • Abstract :  I will report on the recent progress jointly wirh Qi on the cohomological criterion for the complete reducibility of generalized modules of finite length for a grading-restricted vertex algebra.
  • We found that the first cohomology of a grading-restricted vertex algebra generated by its weight-one subspace with the algebra itself as coefficients is isomorphic to its weight-one subspace. We proved that if the first cohomology of a grading-restricted vertex algebra with an arbitrary lower bounded generalized bimodule as coefficients is isomorphic to the space of what we call zero-mode derivations, then grading-restricted generalized modules satisfying the composability condition are completely reducible.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.