Ringel-Hall algebras of hereditary pure semisimple coalgebras

Justyna Kosakowska

Colloquium Mathematicae (2009)

  • Volume: 115, Issue: 1, page 65-85
  • ISSN: 0010-1354

Abstract

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We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.

How to cite

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Justyna Kosakowska. "Ringel-Hall algebras of hereditary pure semisimple coalgebras." Colloquium Mathematicae 115.1 (2009): 65-85. <http://eudml.org/doc/283847>.

@article{JustynaKosakowska2009,
abstract = {We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.},
author = {Justyna Kosakowska},
journal = {Colloquium Mathematicae},
keywords = {Ringel-Hall algebras; Hall polynomials; pure semisimple coalgebras; Lie algebras; generators and relations; universal enveloping algebras; infinite-dimensional coalgebras},
language = {eng},
number = {1},
pages = {65-85},
title = {Ringel-Hall algebras of hereditary pure semisimple coalgebras},
url = {http://eudml.org/doc/283847},
volume = {115},
year = {2009},
}

TY - JOUR
AU - Justyna Kosakowska
TI - Ringel-Hall algebras of hereditary pure semisimple coalgebras
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 1
SP - 65
EP - 85
AB - We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.
LA - eng
KW - Ringel-Hall algebras; Hall polynomials; pure semisimple coalgebras; Lie algebras; generators and relations; universal enveloping algebras; infinite-dimensional coalgebras
UR - http://eudml.org/doc/283847
ER -

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