# Quantum sections and Gauge algebras.

Lieven Le Bruyn; Freddy van Oystaeyen

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 693-714
- ISSN: 0214-1493

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topLe Bruyn, Lieven, and Oystaeyen, Freddy van. "Quantum sections and Gauge algebras.." Publicacions Matemàtiques 36.2A (1992): 693-714. <http://eudml.org/doc/41746>.

@article{LeBruyn1992,

abstract = {Using quantum sections of filtered rings and the associated Rees rings one can lift the scheme structure on Proj of the associated graded ring to the Proj of the Rees ring. The algebras of interest here are positively filtered rings having a non-commutative regular quadratic algebra for the associated graded ring; these are the so-called gauge algebras obtaining their name from special examples appearing in E. Witten's gauge theories. The paper surveys basic definitions and properties but concentrates on the development of several concrete examples.},

author = {Le Bruyn, Lieven, Oystaeyen, Freddy van},

journal = {Publicacions Matemàtiques},

keywords = {filtered rings; associated graded rings; commutative Noetherian domains; schemes; quantum sections; non-commutative quadratic Auslander-regular algebras; gauge algebras; survey; associated Rees rings},

language = {eng},

number = {2A},

pages = {693-714},

title = {Quantum sections and Gauge algebras.},

url = {http://eudml.org/doc/41746},

volume = {36},

year = {1992},

}

TY - JOUR

AU - Le Bruyn, Lieven

AU - Oystaeyen, Freddy van

TI - Quantum sections and Gauge algebras.

JO - Publicacions Matemàtiques

PY - 1992

VL - 36

IS - 2A

SP - 693

EP - 714

AB - Using quantum sections of filtered rings and the associated Rees rings one can lift the scheme structure on Proj of the associated graded ring to the Proj of the Rees ring. The algebras of interest here are positively filtered rings having a non-commutative regular quadratic algebra for the associated graded ring; these are the so-called gauge algebras obtaining their name from special examples appearing in E. Witten's gauge theories. The paper surveys basic definitions and properties but concentrates on the development of several concrete examples.

LA - eng

KW - filtered rings; associated graded rings; commutative Noetherian domains; schemes; quantum sections; non-commutative quadratic Auslander-regular algebras; gauge algebras; survey; associated Rees rings

UR - http://eudml.org/doc/41746

ER -

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