ISSN:0092-7872    

DOI:10.1080/00927879208824384

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824385

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824386

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

摘要:

LetGbe a real connected semisimple real Lie group and let beAa connected reductive subgroupg,athe complexified Lie algebras ofGand A respectively; assume (g,a) is a regular pair.In this paper we study general properties of (g, A)-modules, and we prove for two particular cases that every admissible (g, A)-module with an infinitesimal character has finite length.We also compute Gelfand-Kiriilov dimensions for some modules and a number (Vogan's dimension) related to it.Finally we construct a virtual (g,A)-module with“minimal”Vogan's dimension.

ISSN:0092-7872    

DOI:10.1080/00927879208824387

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824388

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

摘要:

LetPL(Fq) denote the projective line over a Galois fieldFq. Consider PSL (2, Z ) as a free product of two cyclic groups <x> and <y> of orders 2 and 3. We have shown that any homomorphism fromPSL(2,Z) intoPGL(2,q) can be extended to a homomorphism fromPGL(2Z) intoPGL(2q) except in the case where the order of the image ofxyis 6 but the images ofxandydo not commute inPGL(2q). It has been shown also that every element inPGL(2,q), not of order 1,2 , or 6, is the image ofxyunder some non-degenerate homomorphism. We have parametrized the conjugacy classes of non-degenerate homomorphisms α with the non-trivial elements ofFq. Due to this parametrization we have developed a useful mechanism by which one can construct.

ISSN:0092-7872    

DOI:10.1080/00927879208824389

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824390

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824391

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

摘要:

LetGbe a finite group let H be a subgroup ofG×Gand let.The functions in the near-ringM0(G,2,H) are characterized.The radicalIofM0(G,2,H) is found andM0(G,2,H) /Iis shown to be a direct sum, in a natural way, of simple near-rings.

ISSN:0092-7872    

DOI:10.1080/00927879208824392

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879208824393

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1992

数据来源: Taylor