✦ LIBER ✦

Koszul algebras of invariants

✍ Scribed by Pierre-Yves Gaillard

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 578 KB
Volume: 146
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(92)90055-q

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Subalgebras of Bigraded Koszul Algebras

✍ Stefan Blum 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 130 KB

We show that diagonal subalgebras and generalized Veronese subrings of a bigraded Koszul algebra are Koszul. We give upper bounds for the regularity of side-diagonal and relative Veronese modules and apply the results to symmetric algebras and Rees rings. Recall that a positively graded K-algebra A

Koszulity for Nonquadratic Algebras

✍ Roland Berger 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 203 KB

It is known that a Koszul algebra is defined as being a quadratic algebra with a ''pure'' resolution of the ground field. In this paper, we extend Koszulity to algebras whose relations are homogeneous of degree s ) 2. A cubic Artin᎐Schelter regular algebra has motivated our work. Generalized Koszuli

Examples of Infinitely Generated Koszul

Examples of Infinitely Generated Koszul Algebras

✍ Winfried Bruns; Joseph Gubeladze 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 564 KB

Let K be a skew field and A = K @ A1 @ . . . a graded Kalgebra (both of them not necessarily commutative). We call A homogeneous (or standard) if it is generated by Al as a Kalgebra. A homogeneous Kalgebra A is Koszul if there exists a linear free resolution of the residue field K Y A/A+ as an A-mo

Graded, Selfinjective, and Koszul Algebr

Graded, Selfinjective, and Koszul Algebras

✍ Roberto Martı&#x0301;nez-Villa 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 295 KB

In this paper we continue our work on Koszul algebras initiated in earlier studies. The consideration about the existence of almost split sequences for Koszul modules appeared in our early work and only a partial answer is known. Koszul duality relates finite dimensional algebras of infinite global

Koszul Modules and Gorenstein Algebras

✍ M. Grassi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 306 KB

I first define Koszul modules, which are a generalization to arbitrary rank of complete intersections. After a study of some of their properties, it is proved that Gorenstein algebras of codimension one or two over a local or graded CM ring are Koszul modules, thus generalizing a well known statemen

Homogeneous Vector Bundles and Koszul Al

Homogeneous Vector Bundles and Koszul Algebras

✍ Lutz Hille 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 386 KB

Let G be a reductive algebraic group defined over an algebraically closed field of characteristic zero and let P be a parabolic subgroup of G. We consider the category of homogeneous vector bundles over the flag variety G / P . This category is equivalent to a category of representations of a certai