Coordinate rings and birational charts
2022 ◽
Vol 26
(1)
◽
pp. 1-16
Keyword(s):
Let G G be a semisimple simply connected complex algebraic group. Let U U be the unipotent radical of a Borel subgroup in G G . We describe the coordinate rings of U U (resp., G / U G/U , G G ) in terms of two (resp., four, eight) birational charts introduced by Lusztig [Total positivity in reductive groups, Birkhäuser Boston, Boston, MA, 1994; Bull. Inst. Math. Sin. (N.S.) 14 (2019), pp. 403–459] in connection with the study of total positivity.
2018 ◽
Vol 62
(2)
◽
pp. 559-594
Keyword(s):
2016 ◽
Vol 19
(1)
◽
pp. 235-258
◽
1971 ◽
Vol 12
(1)
◽
pp. 1-14
◽
2020 ◽
Vol 39
(5)
◽
pp. 1017-1030
◽
2013 ◽
Vol 149
(7)
◽
pp. 1061-1090
◽
2021 ◽
Vol 25
(27)
◽
pp. 780-806