Algebraic structures constitute a central theme in contemporary mathematics, encapsulating the interplay of operations on sets that adhere to specific axioms. The study of cohomology provides a ...

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

Given an exponentiable Lie algebra L of operators on a Hilbert space H, we study the spectrum of those self-adjoint, non-adnilpotent operators -iA, with A in L, for a certain class of solvable Lie ...

Let G be a simply connected connected real nilpotent Lie group with Lie algebra g, H a connected closed subgroup of G with Lie algebra h and β ∈ h* satisfying β([h,h]) = {0}. Let χβ be the unitary ...