The isolated quantum group of the GL<inf>2</inf>family

Abstract

© 2017 Elsevier Inc. Quantum analogs of GL(2) are parameterized by PGL(2)-orbits in the commuting variety of the projective linear group PGL(2). The quantum group corresponding to the orbit constituting the second connected component of the commuting variety has previously received little attention. This paper investigates ring-theoretical properties of its coordinate ring.