caa a22 4500 465755062 CHVBK 20180323111844.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF01166424 doi (NATIONALLICENCE)springer-10.1007/BF01166424 Fujita Shinsaku Research Laboratories, Ashigara, Fuji Photo Film Company, Ltd., Minami-Ashigara, 250-01, Kanagawa, Japan aut Subduction of coset representations. An application to enumeration of chemical structures with achiral and chiral ligands [Elektronische Daten] [Shinsaku Fujita] Molecules derived from a parent skeleton are enumerated where both achiral ligands as well as chiral ligands are allowed. Chirality fittingness of an orbit is proposed in order to permit chiral ligands. The enumeration is conducted with and without consideration of obligatory minimum valency (OMV). The effect of the OMV is formulated by assigning different weights to the respective orbits of the parent skeleton. The importance of coset representations and their subduction by subgroups is discussed. The subduced representations are classified into three classes through their chirality fittingness, which determines the mode of substitution with chiral and achiral ligands. Several novel concepts such as a unit subduced cycle index and a subduced cycle index are given in general forms. J.C. Baltzer AG, Scientific Publishing Company, 1990 Journal of Mathematical Chemistry Kluwer Academic Publishers 5/2(1990-06-01), 121-156 0259-9791 5:2<121 1990 5 10910 https://doi.org/10.1007/BF01166424 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01166424 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fujita Shinsaku Research Laboratories, Ashigara, Fuji Photo Film Company, Ltd., Minami-Ashigara, 250-01, Kanagawa, Japan aut NATIONALLICENCE 773 0- Journal of Mathematical Chemistry Kluwer Academic Publishers 5/2(1990-06-01), 121-156 0259-9791 5:2<121 1990 5 10910 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 465199976 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer