ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.1

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.7

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

I am grateful to Keith Dennis for pointing out that the proof of Proposition 1 is fallacious. A correct argument is as follows.Let θ be the maximal order of the maximal unramified subfield ofD. Then both θ andDhave residue class fieldd, and the following triangle of functors is commutative up to a natural equivalence:Therefore, there is a commuting triangle of homomorphismsThe Proposition follows since the diagonal map is surjective by Gersten's result.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.14-s

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.15

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.28

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.33

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.39

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Letgbe a complex semisimple Lie algebra, let U(g) denote the enveloping algebra ofgand PrimU(g) the set of primitive ideals ofU(g). GivenI€ PrimU(g), the Gelfand‐Kirillov dimension DimU(g)/Iof the quotient algebraU(g)/Iis an important invariant which is useful in distinguishing elements of PrimU(g). Based on a result [12] for the principal series a new formula for DimU(g)/Iis obtained. Combined with the results of [1], [11], and [12], this gives for example the precise value of this invariant forgsimple of typeAn. It also leads to a classification of PrimU(g) over fibres of rank 3.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.50

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.61

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

An investigation of the groups described in the title is carried out. It is shown that all such groups are extensions of an abelian group by a polycyclic group and so have the maximal condition for normal subgroups and are residually finite.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-18.1.65

出版商:Oxford University Press    

年代:2016

数据来源: WILEY