ISSN:0025-5793    

DOI:10.1112/S0025579300006781

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300006793

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

摘要:

Abstract. We show that the set ofT‐numbers in Mahler's classification of transcendental numbers supports a measure whose Fourier transform vanishes at infinity. A similar argument shows thatU‐numbers also support such a measure.

ISSN:0025-5793    

DOI:10.1112/S002557930000680X

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300006811

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

摘要:

Abstract. We consider the structure of the Kac modulesV(Λ) for dominant integral doubly atypical weights Λ of the Lie superalgebra s1(2/2). Primitive vectors ofV(Λ) are constructed and it is shown that the number of composition factors ofV(Λ) for such Λ is in exact agreement with the conjectures of [HKV]. These results are used to show that the extended Kac‐Weyl character formula which was proved in [VHKTl]for singly atypical simple modules of s1(m/n), and conjectured to be valid for all finite dimensional irreducible representations of sl(m/n) in [VHKT2] is in fact valid for all finite‐dimensional doubly atypical simple modules of s1(2/2).

ISSN:0025-5793    

DOI:10.1112/S0025579300006823

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

摘要:

Abstract. ForFa field we compute, explicitly and directly, the right Krull dimension of the algebraQop⊗FQfor certain semisimple ArtinianF‐algebrasQ. (HereQopdenotes the opposite ring ofQ.) We use our calculation to give alternative proofs of some theorems of J. T. Stafford and A. I. Lichtman. Our methods involve a detailed study of skew polynomial rings.

ISSN:0025-5793    

DOI:10.1112/S0025579300006835

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300006847

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

ISSN:0025-5793    

DOI:10.1112/S0025579300006859

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

摘要:

AbstractAn explicit formula is given for the volume of the polar dual of a polytope. Using this formula, we prove a geometric criterion for critical (w.r.t. volume) sections of a regular simplex.

ISSN:0025-5793    

DOI:10.1112/S0025579300006860

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY

摘要:

AbstractLetK ⊂ Rdbe a convex body and choose pointsxl, x2, …, xnrandomly, independently, and uniformly fromK. ThenKn= conv {x1, …, xn} is a random polytope that approximatesK(asn→ ∞) with high probability. Answering a question of Rolf Schneider we determine, up to first order precision, the expectation of volK– volKnwhenKis a smooth convex body. Moreover, this result is extended to quermassintegrals (instead of volume).

ISSN:0025-5793    

DOI:10.1112/S0025579300006872

出版商:London Mathematical Society    

年代:1992

数据来源: WILEY