𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homology of nilpotent subalgebras of the Lie superalgebra K(1, 1)

✍ Scribed by Yu. Yu. Kochetkov


Publisher
Springer US
Year
1992
Tongue
English
Weight
108 KB
Volume
25
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the homology of free 2-step nilpotent
✍ Johannes Grassberger; Alastair King; Paulo Tirao πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 111 KB

We find an explicit formula for the total dimension of the homology of a free 2-step nilpotent Lie algebra. We analyse the asymptotics of this formula and use it to find an improved lower bound on the total dimension of the homology of any 2-step nilpotent Lie algebra.

The Minimal Primitive Spectrum of the En
✍ Maria Gorelik; Emmanuel Lanzmann πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 248 KB

A well-known theorem of Duflo, the ``annihilation theorem,'' claims that the annihilator of a Verma module in the enveloping algebra of a complex semisimple Lie algebra is centrally generated. For the Lie superalgebra osp(1, 2l ), this result does not hold. In this article, we introduce a ``correct'

A Proof of Hozo's Conjecture on the Homo
✍ Phil Hanlon πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 342 KB

a poset by saying u F Β¨if u is on the path from r to Β¨. Let Z P be the span of all matrices z such that u -Β¨, where z is the n = n matrix with a 1 in the u, ΓΌΒ¨P u αΊ… x Ε½ .

K1 of Chevalley groups are nilpotent
✍ Roozbeh Hazrat; Nikolai Vavilov πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 195 KB

Let be a reduced irreducible root system and R be a commutative ring. Further, let G( ; R) be a Chevalley group of type over R and E( ; R) be its elementary subgroup. We prove that if the rank of is at least 2 and the Bass-Serre dimension of R is ΓΏnite, then the quotient G( ; R)=E( ; R) is nilpotent