TY - JOUR
T1 - Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements
AU - Abe, Takuro
AU - Terao, Hiroaki
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/3/15
Y1 - 2011/3/15
N2 - We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an arbitrary multiplicity. In particular, when the Coxeter arrangement is irreducible with a constant multiplicity, the primitive filtration was studied in Abe and Terao (2010) [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., Saito, 2003 [6]).
AB - We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an arbitrary multiplicity. In particular, when the Coxeter arrangement is irreducible with a constant multiplicity, the primitive filtration was studied in Abe and Terao (2010) [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., Saito, 2003 [6]).
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U2 - 10.1016/j.jalgebra.2010.12.010
DO - 10.1016/j.jalgebra.2010.12.010
M3 - Article
AN - SCOPUS:79951516705
VL - 330
SP - 251
EP - 262
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 1
ER -