Power sum decompositions of defining equations of reflection arrangements

Zach Teitler; Alexander Woo

doi:10.1007/s10801-014-0539-0

Power sum decompositions of defining equations of reflection arrangements

Zach Teitler
, Alexander Woo

Mathematics Department

University of Idaho

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We determine the Waring rank and a Waring decomposition of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflection groups.

Original language	English
Pages (from-to)	365-383
Number of pages	19
Journal	Journal of Algebraic Combinatorics
Volume	41
Issue number	2
DOIs	https://doi.org/10.1007/s10801-014-0539-0
State	Published - Mar 2014

Keywords

Reflection arrangement
Reflection group
Skew invariant
Waring rank

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title = "Power sum decompositions of defining equations of reflection arrangements",

abstract = "We determine the Waring rank and a Waring decomposition of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflection groups.",

keywords = "Reflection arrangement, Reflection group, Skew invariant, Waring rank",

author = "Zach Teitler and Alexander Woo",

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year = "2014",

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doi = "10.1007/s10801-014-0539-0",

language = "English",

volume = "41",

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AU - Woo, Alexander

PY - 2014/3

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AB - We determine the Waring rank and a Waring decomposition of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflection groups.

KW - Reflection arrangement

KW - Reflection group

KW - Skew invariant

KW - Waring rank

UR - https://www.scopus.com/pages/publications/84939896630

U2 - 10.1007/s10801-014-0539-0

DO - 10.1007/s10801-014-0539-0

M3 - Article

AN - SCOPUS:84939896630

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VL - 41

SP - 365

EP - 383

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -

Power sum decompositions of defining equations of reflection arrangements

Abstract

Keywords

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