# 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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