There has been a resurgence of interest in classical invariant theory driven by several
factors: new theoretical developments; a revival of computational methods coupled with …

This self-contained text is an excellent introduction to Lie groups and their actions on
manifolds. The authors start with an elementary discussion of matrix groups, followed by …

This paper contains a survey of recent developments in the investigation of word equations
in simple matrix groups and polynomial equations in simple (associative and Lie) matrix …

The phase space given by the cotangent bundle of a Lie group appears in the context of
several models for physical systems. A representation for the quantum system in terms of …

In view of controlling finite-dimensional open quantum systems, we provide a unified Lie-
semigroup framework describing the structure of completely positive trace-preserving maps …

We defined a noncommutative algebra representation for quantum systems whose phase
space is the cotangent bundle of the Lorentz group, and the noncommutative Fourier …

This series includes advanced texts and monographs covering all fields in pure and applied
mathematics. The Tracts will give a reliable introduction and reference to special fields of …

In this paper, we study the existence problem of periodic first integrals for periodic
Hamiltonian systems of Lie type. From a natural ansatz for time-dependent first integrals, we …

In this paper we study the surjectivity of the power maps g↦→ gn for algebraic groups over
an algebraically closed field of characteristic zero. We describe certain necessary and …

We study the density of the Burau representation from the perspective of a non-semisimple
TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form on …