Communications in Algebra

Leeney, Mark G.

doi: 10.1080/00927879208824384pmid: N/A

Puczylowski, Edmund R.; Roszkowska, Ewa

doi: 10.1080/00927879208824385pmid: N/A

Beintema, Mark B.

doi: 10.1080/00927879208824386pmid: N/A

Tiraboschi, Alejandro

doi: 10.1080/00927879208824387pmid: N/A

Let Gbe a real connected semisimple real Lie group and let be Aa connected reductive subgroupg,athe complexified Lie algebras of Gand 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.

Fay, Temple H.; Walls, Gary L.

doi: 10.1080/00927879208824388pmid: N/A

Mustaq, Q.

doi: 10.1080/00927879208824389pmid: N/A

Let PL(F q) denote the projective line over a Galois field F q. 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 from PSL(2,Z) into PGL(2,q) can be extended to a homomorphism from PGL(2Z) into PGL(2q) except in the case where the order of the image of xyis 6 but the images of xand ydo not commute in PGL(2q). It has been shown also that every element in PGL(2,q), not of order 1,2 , or 6, is the image of xyunder some non-degenerate homomorphism. We have parametrized the conjugacy classes of non-degenerate homomorphisms α with the non-trivial elements of F q. Due to this parametrization we have developed a useful mechanism by which one can construct. a unique coset diagram (attributed to G. Higman) for each conjugacy class, depicting the action of PGL(2Z) on PL( F q).

Müller, Peter

doi: 10.1080/00927879208824390pmid: N/A

Vera-López, Antonio; Fernández-Alcober, Gustavo A.

doi: 10.1080/00927879208824391pmid: N/A

Oswald, Alan; Smith, Kirby C.

doi: 10.1080/00927879208824392pmid: N/A

Let Gbe a finite group let H be a subgroup of G× Gand let .The functions in the near-ring M 0(G,2,H) are characterized.The radical Iof M 0(G,2,H) is found and M 0(G,2,H) / Iis shown to be a direct sum, in a natural way, of simple near-rings.

Aravire, Roberto; Baeza, Ricardo

doi: 10.1080/00927879208824393pmid: N/A