Coordinate rings and birational charts
Name
S1088-4165-2022-00592-9.pdf
Description
Published version
Size
254.42 KB
Format
Adobe PDF
Checksum (MD5)
b9347e31470b8ee0b8b78b8c687018f1
Author(s)
Fomin, Sergey
Lusztig, George
Date Issued
January 5, 2022
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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DOI of Published Version
https://doi.org/10.1090/ert/592
