TY - JOUR T1 - Rational Invariants of the Generalized Classical Groups AU - Nan , Jizhu AU - Zhao , Jing JO - Communications in Mathematical Research VL - 2 SP - 127 EP - 138 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19095.html KW - generalized classical group, BN-pair, invariant, finite field. AB -

In this paper, we give transcendence bases of the rational invariants fields of the generalized classical groups and their subgroups B, N and T , and we also compute the orders of them. Furthermore, we give explicit generators for the rational invariants fields of the Borel subgroup and the Neron-Severi subgroup of the general linear group.