A remark on the homotopy equivalence of SUn and SLnC

Abstract

Being a maximal compact subgroup of SLnC, SUn is a deformation retract of the former group. In this note we prove that, for sufficiently large n, there is no retraction of SLnC to SUn which preserves commutativity.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…