𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Residue Complex of a Noncommutative Graded Algebra

✍ Scribed by Amnon Yekutieli


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
258 KB
Volume
186
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Entropy of Graded Algebras
✍ M.F Newman; Csaba Schneider; Aner Shalev πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 122 KB
Residue Complex for Sklyanin Algebras of
✍ Kaushal Ajitabh πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 197 KB

We describe the residue complex for three-dimensional Sklyanin algebras, which are the interesting special cases of quantum polynomial rings in three variables. In particular, we show that the multiplicities of the point modules in the residue complex are all one, just as in the classical case of co

Residue Complex for Regular Algebras of
✍ Kaushal Ajitabh πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 254 KB

We give a construction of a residue complex a minimal injective resolution for regular algebras of dimension 2, which are twisted homogeneous coordinate rings of the projective line. Residue complexes for general twisted coordinate rings have been previously constructed by geometric methods. Our met

Presenting the Graded Lie Algebra Associ
✍ A. Caranti πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 273 KB

The graded Lie algebra L associated to the Nottingham group is a loop algebra Γ΄f the Witt algebra W . The universal covering W of W has one-dimensional 1 1 1 Δ‰entre, so that the corresponding loop algebra M of W has an infinite-dimen-1 Ε½ . Ε½ . sional centre Z M . As MrZ M is isomorphic to L, it foll

A class of non-graded left-symmetric alg
✍ Xiaomin Tang; Chengming Bai πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 199 KB

## Abstract We classify the compatible left‐symmetric algebraic structures on the Witt algebra satisfying certain non‐graded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced non‐graded modules of the Witt algebra and the induced Lie alg

On the Classification of Strongly Graded
✍ Antonio M. Cegarra πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 113 KB

The main result in this paper states that every strongly graded bialgebra whose component of grade 1 is a finite-dimensional Hopf algebra is itself a Hopf algebra. This fact is used to obtain a group cohomology classification of strongly graded Hopf algebras, with 1-component of finite dimension, fr