Дорогі учасники СМС, запрошуємо на чергове засідання KSE Mathematics Seminar 🤓:

Тема: "Contractions of Lie algebras".

Доповідач: Maryna Nesterenko.

Коли: Ср, 28 січня о 16:30-17:30.

Де: KSE (вул. М. Шпака 3), ауд 4.05.

Анотація доповіді:

A contraction of a Lie algebra is a limiting procedure that transforms one Lie algebraic structure into another. Such transformations play an important role in mathematical physics, as they provide systematic links between different physical theories, describe symmetry reductions, and arise naturally in the analysis of invariant differential equations.

In this talk, we will present several definitions of Lie algebra contractions and discuss criteria for their existence, including new results. We will analyze the Hasse diagrams describing contraction relations among low-dimensional and nilpotent Lie algebras over the real and complex fields, obtained in our recent investigations. In addition, we will present an algorithm for constructing generalized Inönü–Wigner contractions and illustrate the approach with a number of explicit examples.