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Volume 27, Issue 2
Rational Invariants of the Generalized Classical Groups

Jizhu Nan & Jing Zhao

Commun. Math. Res., 27 (2011), pp. 127-138.

Published online: 2021-05

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  • Abstract

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.

  • Keywords

generalized classical group, BN-pair, invariant, finite field.

  • AMS Subject Headings

12F20, 20G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-27-127, author = {Nan , Jizhu and Zhao , Jing}, title = {Rational Invariants of the Generalized Classical Groups}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {2}, pages = {127--138}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19095.html} }
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.

Jizhu Nan & Jing Zhao. (2021). Rational Invariants of the Generalized Classical Groups. Communications in Mathematical Research . 27 (2). 127-138. doi:
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