Coordinate rings and birational charts

Author(s)
Fomin, Sergey; Lusztig, George
Thumbnail
DownloadPublished version (254.4Kb)
Publisher Policy
Terms of use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Metadata
Show full item record
Abstract
Let G be a semisimple simply connected complex algebraic group. Let U be the unipotent radical of a Borel subgroup in G. We describe the coordinate rings of U (resp., G/U, G) in terms of two (resp., four, eight) birational charts introduced by Lusztig [Total positivity in reductive groups, Birkh¨auser Boston, Boston, MA, 1994; Bull. Inst. Math. Sin. (N.S.) 14 (2019), pp. 403–459] in connection with the study of total positivity.
Date issued
2022-01-05
URI
https://hdl.handle.net/1721.1/145770
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Representation Theory of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Fomin, Sergey and Lusztig, George. 2022. "Coordinate rings and birational charts." Representation Theory of the American Mathematical Society, 26 (1).
Version: Final published version
Collections