Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) by Armand Borel (PDF)

1

 

Ebook Info

  • Published: 2002
  • Number of pages: 136 pages
  • Format: PDF
  • File Size: 15.18 MB
  • Authors: Armand Borel

Description

We describe the components of the moduli space of conjugacy classes of commuting pairs and triples of elements in a compact Lie group. This description is in te’ of the extended Dynkin diagram of the simply connected cover, together with the coroot integers and the action of the fundamental group. In the case of three commuting elements, we compute Chern-Simons invariants associated to the corresponding flat bundles over the three-torus, and verify a conjecture of Witten which reveals a surprising symmetry involving the Chern-Simons invariants and the dimensions of the components of the moduli space.

User’s Reviews

Keywords

Free Download Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) in PDF format
Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) PDF Free Download
Download Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) 2002 PDF Free
Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) 2002 PDF Free Download
Download Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society) PDF
Free Download Ebook Almost Commuting Elements in Compact Lie Groups (Memoirs of the American Mathematical Society)

Previous articleRepresentations of Integers as Sums of Squares by E. Grosswald (PDF)
Next articleA Tribute to Emil Grosswald: Number Theory and Related Analysis (Contemporary Mathematics) by Emil Grosswald (PDF)