ar X iv : m at h / 02 07 11 7 v 1 [ m at h . Q A ] 1 3 Ju l 2 00 2 Vertex operator algebras with automorphism group S 3

ar X iv : m at h / 06 11 38 6 v 1 [ m at h . R A ] 1 3 N ov 2 00 6 Quasi Q n - filiform Lie algebras ∗

In this paper we explicitly determine the derivation algebra, automorphism group of quasi Qn-filiform Lie algebras, and applying some properties of root vector decomposition we obtain their isomorphism theorem. AMS Classification: 17B05; 17B30

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES

ar X iv : m at h / 06 11 35 5 v 1 [ m at h . R T ] 1 3 N ov 2 00 6 Moonshine for Rudvalis ’ s sporadic group II ∗

In Part I we introduced the notion of enhanced vertex operator superalgebra, and constructed an example which is self-dual, has rank 28, and whose full symmetry group is a seven-fold cover of the sporadic simple group of Rudvalis. In this article we construct a second enhanced vertex operator superalgebra whose full automorphism group is a cyclic cover of the Rudvalis group. This new example is...

ar X iv : m at h / 05 07 37 3 v 1 [ m at h . FA ] 1 8 Ju l 2 00 5 OPERATOR AMENABILITY OF FOURIER – STIELTJES ALGEBRAS , II

We give an example of a non-compact, locally compact group G such that its Fourier–Stieltjes algebra B(G) is operator amenable. Furthermore, we characterize those G for which A * (G)—the spine of B(G) as introduced by M. Ilie and the second named author is operator amenable and show that A * (G) is operator weakly amenable for each G.

ar X iv : m at h / 03 08 02 3 v 2 [ m at h . Q A ] 1 3 O ct 2 00 3 MONOMIAL HOPF ALGEBRAS

Let K be a field of characteristic 0 containing all roots of unity. We classified all the Hopf structures on monomial K-coalgebras, or, in dual version, on monomial K-algebras.