Varieties of modules over tubular algebras

Christof Geiss; Jan Schröer

Colloquium Mathematicae (2003)

  • Volume: 95, Issue: 2, page 163-183
  • ISSN: 0010-1354

Abstract

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We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.

How to cite

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Christof Geiss, and Jan Schröer. "Varieties of modules over tubular algebras." Colloquium Mathematicae 95.2 (2003): 163-183. <http://eudml.org/doc/286355>.

@article{ChristofGeiss2003,
abstract = {We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.},
author = {Christof Geiss, Jan Schröer},
journal = {Colloquium Mathematicae},
keywords = {tubular algebras; preprojective algebras; Dynkin types; affine module varieties; irreducible components; canonical bases; Ringel bilinear forms; quantized enveloping algebras},
language = {eng},
number = {2},
pages = {163-183},
title = {Varieties of modules over tubular algebras},
url = {http://eudml.org/doc/286355},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Christof Geiss
AU - Jan Schröer
TI - Varieties of modules over tubular algebras
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 163
EP - 183
AB - We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.
LA - eng
KW - tubular algebras; preprojective algebras; Dynkin types; affine module varieties; irreducible components; canonical bases; Ringel bilinear forms; quantized enveloping algebras
UR - http://eudml.org/doc/286355
ER -

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