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Rational Invariants of the Generalized Classical Groups 被引量:1

Rational Invariants of the Generalized Classical Groups
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摘要 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. 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.
出处 《Communications in Mathematical Research》 CSCD 2011年第2期127-138,共12页 数学研究通讯(英文版)
基金 The NSF(10771023) of China
关键词 generalized classical group BN-pair INVARIANT finite field generalized classical group, BN-pair, invariant, finite field
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