A Geometrical Construction for the Polynomial Invariants of some Reflection Groups
Serdica Mathematical Journal (2005)
- Volume: 31, Issue: 3, page 229-242
- ISSN: 1310-6600
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topSarti, Alessandra. "A Geometrical Construction for the Polynomial Invariants of some Reflection Groups." Serdica Mathematical Journal 31.3 (2005): 229-242. <http://eudml.org/doc/219530>.
@article{Sarti2005,
abstract = {2000 Mathematics Subject Classification: Primary 20F55, 13F20; Secondary 14L30.We construct invariant polynomials for the reflection groups
[3, 4, 3] and [3, 3, 5] by using some special sets of lines on the quadric P1 × P1
in P3. Then we give a simple proof of the well known fact that the ring of
invariants are rationally generated in degree 2,6,8,12 and 2,12,20,30.},
author = {Sarti, Alessandra},
journal = {Serdica Mathematical Journal},
keywords = {Polynomial Invariants; Reflection and Coxeter Groups; Group Actions on Varieties; polynomial invariants; reflection groups; group actions on varieties},
language = {eng},
number = {3},
pages = {229-242},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Geometrical Construction for the Polynomial Invariants of some Reflection Groups},
url = {http://eudml.org/doc/219530},
volume = {31},
year = {2005},
}
TY - JOUR
AU - Sarti, Alessandra
TI - A Geometrical Construction for the Polynomial Invariants of some Reflection Groups
JO - Serdica Mathematical Journal
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 31
IS - 3
SP - 229
EP - 242
AB - 2000 Mathematics Subject Classification: Primary 20F55, 13F20; Secondary 14L30.We construct invariant polynomials for the reflection groups
[3, 4, 3] and [3, 3, 5] by using some special sets of lines on the quadric P1 × P1
in P3. Then we give a simple proof of the well known fact that the ring of
invariants are rationally generated in degree 2,6,8,12 and 2,12,20,30.
LA - eng
KW - Polynomial Invariants; Reflection and Coxeter Groups; Group Actions on Varieties; polynomial invariants; reflection groups; group actions on varieties
UR - http://eudml.org/doc/219530
ER -
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