On algebraic supergroups, coadjoint orbits and their deformations

Abstract

In this paper we study algebraic supergroups and their coadjoint orbits as affine algebraic supervarieties. We find an algebraic deformation quantization of them that can be related to the fuzzy spaces of non commutative geometry.

37 pages, AMS-LaTeX

References in corpus (1)

• The quantum structure of spacetime at the Planck scale and quantum fields

Cited by in corpus (4)

• Superorbits
• On real forms of complex Lie superalgebras and complex algebraic supergroups
• The quantum chiral Minkowski and conformal superspaces
• A coadjoint orbit-like construction for Jordan superalgebras