Vol. 6, No. 6, 2012

Download this article
Download this article For screen
For printing
Recent Issues

Volume 11, 1 issue

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$

Kevin McGerty

Vol. 6 (2012), No. 6, 1097–1131

We give a geometric interpretation of the inner product on the modified quantum group of sl̂n. We also give some applications of this interpretation, including a positivity result for the inner product, and a new geometric construction of the canonical basis.

quantum groups, canonical bases, perverse sheaves
Mathematical Subject Classification 2010
Primary: 20G42
Secondary: 20G43, 17B37
Received: 3 October 2010
Revised: 8 May 2011
Accepted: 30 June 2011
Published: 12 August 2012
Kevin McGerty
Mathematical Institute
University of Oxford
24-29 St Giles’
United Kingdom