Asking AI reasoning models questions in areas such as algebra or philosophy caused carbon dioxide emissions to spike ...

Introduction to Lie algebras and representation theory by Humphreys, James E Publication date 1972 Topics Lie algebras, Representations of groups, Representations of algebras, Representations of ...

Google's second generation of its AI mathematics system combines a language model with a symbolic engine to solve complex geometry problems better than International Mathematical Olympiad (IMO) gold ...

A set of particle filters on matrix Lie groups is presented for state estimation, where the particles live in Lie algebra. The dynamical equations in the Lie al ...

Here, we propose an extension in which the coefficients in these combinations are substituted by polynomials of the Lie algebra symmetries. This substitution results in a more general class of ...