4 papers
Dirac operators for algebraic families
Spyridon Afentoulidis-Almpanis, Eyal Subag
We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductiv…
A new model for the quantum mechanics of the Hydrogen atom
Joseph Bernstein, Eyal Subag
To every Lorentzian quadratic space of even dimension such that we attach a canonical algebraic quantum mechanical model for a corresponding generalized hydro…
Dual contractions and algebraic families
Eyal Subag
We introduce a duality for Inönü-Wigner contractions attached to real symmetric Lie algebras. Starting from a symmetric pair , we define a dual real form $\mat…
Extensions of the constant family of Harish-Chandra pairs of
Eyal Subag
We study and classify algebraic families of Harish-Chandra pairs over the complex affine line and over the complex projective line with generic fiber that is isomorphic to the Hari…