Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties

Author: Sophie Morier-Genoud
Journal: Trans. Amer. Math. Soc. 360 (2008), 215-235
MSC (2000): Primary 14M25, 16W35, 14M15
Published electronically: June 22, 2007
MathSciNet review: 2342001
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In the $ \mathfrak{sl}_n$ case, A. Berenstein and A. Zelevinsky (1996) studied the Schützenberger involution in terms of Lusztig's canonical basis. We generalize their construction and formulas for any semisimple Lie algebra. We use the geometric lifting of the canonical basis, on which an analogue of the Schützenberger involution can be given. As an application, we construct semitoric degenerations of Richardson varieties, following a method of P. Caldero (2002).

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14M25, 16W35, 14M15

Retrieve articles in all journals with MSC (2000): 14M25, 16W35, 14M15

Additional Information

Sophie Morier-Genoud
Affiliation: Département de Mathématiques, Université Claude Bernard Lyon I, 69622 Villeurbanne Cedex, France

PII: S 0002-9947(07)04216-X
Received by editor(s): April 26, 2005
Received by editor(s) in revised form: September 27, 2005
Published electronically: June 22, 2007
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia