caa a22 4500 510760775 CHVBK 20210128105105.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s13163-011-0077-4 doi (NATIONALLICENCE)springer-10.1007/s13163-011-0077-4 Equivariant Poincaré series of filtrations [Elektronische Daten] [A. Campillo, F. Delgado, S. Gusein-Zade] We offer a new approach to a definition of an equivariant version of the Poincaré series. This Poincaré series is defined not as a power series, but as an element of the Grothendieck ring of G-sets with an additional structure. We compute this Poincaré series for natural filtrations on the ring of germs of functions on the plane (ℂ2,0) with a finite group representation. Revista Matemática Complutense, 2011 Finite group actions nationallicence Filtrations nationallicence Poincaré series nationallicence Campillo A. Dept. of Algebra, Geometry and Topology, Valladolid University, C/ Prado de la Magdalena s/n, 47005, Valladolid, Spain aut Delgado F. Dept. of Algebra, Geometry and Topology, Valladolid University, C/ Prado de la Magdalena s/n, 47005, Valladolid, Spain aut Gusein-Zade S. Faculty of Mechanics and Mathematics, Moscow State University, GSP-1, 119991, Moscow, Russia aut Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 241-251 1139-1138 26:1<241 2013 26 13163 https://doi.org/10.1007/s13163-011-0077-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-011-0077-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Campillo A. Dept. of Algebra, Geometry and Topology, Valladolid University, C/ Prado de la Magdalena s/n, 47005, Valladolid, Spain aut NATIONALLICENCE 700 1- Delgado F. Dept. of Algebra, Geometry and Topology, Valladolid University, C/ Prado de la Magdalena s/n, 47005, Valladolid, Spain aut NATIONALLICENCE 700 1- Gusein-Zade S. Faculty of Mechanics and Mathematics, Moscow State University, GSP-1, 119991, Moscow, Russia aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 241-251 1139-1138 26:1<241 2013 26 13163 SWISSBIB 510760775