摘要:

Completion is a procedure of constructing new representations for Lie algebras from given ones. This paper shows that a similar procedure exists for quantum groups.

ISSN:0092-7872    

DOI:10.1080/00927879508825352

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Infinite dimensional representations of Type I Lie superalgebrasl(m/n) for which the highest weight is singly or multiply and diagonally atypical are shown to have a character formula which is a modified version of the Bernstein-Leites character formula. This formula is also shown to be valid for all infinite dimensional representations of the Lie superalgebraC(2) classified according to the atypicality type of the highest weight A

ISSN:0092-7872    

DOI:10.1080/00927879508825353

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825354

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

LetRbe a commutative ring with identity of prime characteristicpand letGbe an abelian group. Denote byS(RG) the Sylowp-subgroup of the group of normalized units (i.e. the units of augmentation 1) of the group ringRG. The following result is established in the paper.1) LetSbe a subring ofRcontaining the identity ofR. Then the additive factor-groupR(p)/S(p)is isomorphic to the multiplicative groupR[p]/S[p], whereR(p)= {x∈R∣xp= 0} andR[p]= {y∈R∣yp= 1}.2) It holdsR(p)/Rp(p) ≌R[p]/Rp[p] whereRp= {xp∣x∈R}.Computing of the Ulm-Kaplansky invariants of the groupS(RG) is the main result of the paper. A description of the maximal divisible subgroup ofS(RG) is given as well

ISSN:0092-7872    

DOI:10.1080/00927879508825355

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825356

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825357

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We classify all 3-transposition groups which are generated by at most five of their 3-transpositions. Modulo a center these are 27 specific groups plus various quotients of a particular group of order 2(349). For each of the 27 groups at least one presentation is given. We also give presentations for many groups of importance in the recent classification of 3-transposition groups with trivial center. Our presentations include ones for the three sporadic 3-transposition groups of Fischer, each on a 3-transposition generating set of minimal size.

ISSN:0092-7872    

DOI:10.1080/00927879508825358

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let K be a field, n ≥ 2 an integer, and Rn= K[Xn, Xn+1,…,X2n−1]. In this paper, we study lengths of factorizations in Rn. For any atomic domain D, define ρ(D) = sup{ r/s ∣ X1…xr= y1…ys, xi, yj∈ D irreducible } and φ(r) = ∣{ m ∣ X1…xr= y1…ym, xi, yj∈ D irreducible }∣. We show that ρ(Rn)| =(nD(Gn(K)) + 3n − 2)/(2n), where D(Gn(K)) is the Davenport constant of an abelian group Gn(K) associated with K. Hence ρ(Rn) is finite if and only if K is finite. If K is finite, we also show that for Rn,.

ISSN:0092-7872    

DOI:10.1080/00927879508825359

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825360

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

In this note, we study the functorial properties with respect to relatively centralizing ring homomorphisms of the sheaves constructed in [17], through classical and symmetric localization.

ISSN:0092-7872    

DOI:10.1080/00927879508825361

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor