𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Geometry of Directing Modules over Tame Algebras

✍ Scribed by Grzegorz Bobiński; Andrzej Skowroński

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
289 KB
Volume
215
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Directing modules have played an important role * Supported by the Polish Scientific Grant KBN 2P03A 012 14.

📜 SIMILAR VOLUMES

Integrality of Module Algebras over Its
Integrality of Module Algebras over Its Invariants
✍ Shenglin Zhu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 231 KB

If H is cocommutative, then it is known that all commutative H-module algebras are integral over its invariants. Here we prove this result for those Hopf algebras H such that either H is involutionary with Char K ¦ dim H or H has a cocommutative coradical and K is of positive characteristic. Example

A Duality for Modules over Monoidal Cate
A Duality for Modules over Monoidal Categories of Representations of Semisimple Hopf Algebras
✍ D Tambara 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 285 KB

For a finite dimensional semisimple cosemisimple Hopf algebra A and its dual Hopf algebra B, we set up a natural one-to-one correspondence between categories with actions of the monoidal categories of representations of A and of B. This gives a categorical interpretation of the duality for actions o

Applications of Some Properties of the C
Applications of Some Properties of the Canonical Module in Computational Projective Algebraic Geometry
✍ Marc Chardin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 308 KB

We here develop some new algorithms for computing several invariants attached to a projective scheme (dimension, Hilbert polynomial, unmixed part,... ) that are based on liaison theory and therefore connected to properties of the canonical module. The main features of these algorithms are their simp