Skip Navigation


International Mathematics Research Notices Advance Access originally published online on January 2, 2009
International Mathematics Research Notices (2009) 2009:291-347, doi:10.1093/imrn/rnn132 published on January 23, 2009
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
2009/2/291    most recent
rnn132v2
rnn132v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Chirivì, R.
Right arrow Articles by Maffei, A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org.

Equations Defining Symmetric Varieties and Affine Grassmannians

Rocco Chirivì1, Peter Littelmann2 and Andrea Maffei3

1 Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy
2 Universität zu Köln, Mathematisches Institut, Weyertal 86-90, D-50931 Köln, Germany
3 Dipartimento di Matematica "G. Castelnuovo", Università di Roma "La Sapienza", P.le A. Moro, 5, 00185 Roma, Italy

Correspondence: Correspondence to be sent to: chirivi{at}gauss.dm.unipi.it

Suppose Formula be a simple involution of a semisimple algebraic group Formula and suppose H is the subgroup of G of points fixed by Formula . If the restricted root system is of type Formula or Formula and G is simply connected, or if the restricted root system is of type Formula and G is of adjoint type, then we describe a standard monomial theory and the equations for the coordinate ring Formula using the standard monomial theory and the Plücker relations of an appropriate (maybe infinite-dimensional) Grassmann variety.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.