Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TM_2009_267_a6, author = {V. Goryunov and D. Kerner}, title = {Automorphisms of $P_8$ {Singularities} and the {Complex} {Crystallographic} {Groups}}, journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova}, pages = {97--109}, publisher = {mathdoc}, volume = {267}, year = {2009}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TM_2009_267_a6/} }
TY - JOUR AU - V. Goryunov AU - D. Kerner TI - Automorphisms of $P_8$ Singularities and the Complex Crystallographic Groups JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2009 SP - 97 EP - 109 VL - 267 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2009_267_a6/ LA - en ID - TM_2009_267_a6 ER -
V. Goryunov; D. Kerner. Automorphisms of $P_8$ Singularities and the Complex Crystallographic Groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Singularities and applications, Tome 267 (2009), pp. 97-109. http://geodesic.mathdoc.fr/item/TM_2009_267_a6/
[1] Arnold V. I., “Normalnye formy funktsii vblizi vyrozhdennykh kriticheskikh tochek, gruppy Veilya $A_k$, $D_k$, $E_k$ i lagranzhevy osobennosti”, Funkts. analiz i ego pril., 6:4 (1972), 3–25 | MR | Zbl
[2] Arnold V. I., “Kriticheskie tochki funktsii na mnogoobrazii s kraem, prostye gruppy Li $B_k$, $C_k$, $F_4$ i osobennosti evolyut”, UMN, 33:5 (1978), 91–105 | MR | Zbl
[3] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii: Monodromiya i asimptotiki integralov, Nauka, M., 1984 | MR
[4] Arnold V. I., Vasilev V. A., Goryunov V. V., Lyashko O. V., Osobennosti. I: Lokalnaya i globalnaya teoriya, Dinamicheskie sistemy – 6, Itogi nauki i tekhniki. Sovr. probl. matematiki. Fund. napr., 6, VINITI, M., 1988 | MR
[5] Arnold V. I., Vasilev V. A., Goryunov V. V., Lyashko O. V., Osobennosti. II: Klasifikatsiya i prilozheniya, Dinamicheskie sistemy – 8, Itogi nauki i tekhniki. Sovr. probl. matematiki. Fund. napr., 39, VINITI, M., 1989 | MR | Zbl
[6] Bourbaki N., Éléments de mathématique. Fasc. XXXIV: Groupes et algèbres de Lie. Chapitres 4, 5 et 6, Hermann, Paris, 1968 | MR
[7] Brieskorn E., “Die Monodromie der isolierten Singularitäten von Hyperflächen”, Manuscr. math., 2 (1970), 103–161 | DOI | MR | Zbl
[8] Brieskorn E., “Singular elements of semi-simple algebraic groups”, Actes Congrès Intern. Math., V. 2 (Nice, 1970), Gauthier-Villars, Paris, 1971, 279–284 | MR
[9] Givental A. B., “Osobye lagranzhevy mnogoobraziya i ikh lagranzhevy otobrazheniya”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Noveishie dostizheniya, 33, VINITI, M., 1988, 55–112 | MR | Zbl
[10] Goryunov V. V., “Unitarnye gruppy otrazhenii, svyazannye s osobennostyami funktsii s tsiklicheskoi simmetriei”, UMN, 54:5 (1999), 3–24 | DOI | MR | Zbl
[11] Goryunov V. V., “Unitary reflection groups and automorphisms of simple hypersurface singularities”, New developments in singularity theory, Kluwer, Dordrecht, 2001, 305–328 | DOI | MR | Zbl
[12] Goryunov V. V., “Symmetric $X_9$ singularities and complex affine reflection groups”, Tr. MIAN, 258, 2007, 49–57 | MR | Zbl
[13] Goryunov V. V., Beins K. E., “Tsiklicheski ekvivariantnye osobennosti funktsii i unitarnye gruppy otrazhenii $G(2m,2,n)$, $G_9$ i $G_{31}$”, Algebra i analiz, 11:5 (1999), 74–91 | MR | Zbl
[14] Goryunov V. V., Man S. H., “The complex crystallographic groups and symmetries of $J_{10}$”, Singularity theory and its applications, Adv. Stud. Pure Math., 43, Math. Soc. Japan, Tokyo, 2006, 55–72 | MR | Zbl
[15] Gusein-Zade S. M., “Gruppy monodromii izolirovannykh osobennostei giperpoverkhnostei”, UMN, 32:2 (1977), 23–65 | MR | Zbl
[16] Hughes M. C., “Complex reflection groups”, Commun. Algebra, 18 (1990), 3999–4029 | DOI | MR | Zbl
[17] Looijenga E., “On the semi-universal deformation of a simple-elliptic hypersurface singularity. Part II: The discriminant”, Topology, 17 (1978), 23–40 | DOI | MR | Zbl
[18] Malle G., “Presentations for crystallographic complex reflection groups”, Transform. Groups, 1:3 (1996), 259–277 | DOI | MR | Zbl
[19] Orlik P., Solomon L., “Singularities. II: Automorphisms of forms”, Math. Ann., 231 (1978), 229–240 | DOI | MR | Zbl
[20] Popov V. L., Discrete complex reflection groups, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniv. Utrecht, Utrecht, 1982, 89 pp. | MR | Zbl
[21] Shephard G. C., Todd J. A., “Finite unitary reflection groups”, Canad. J. Math., 6 (1954), 274–304 | DOI | MR | Zbl
[22] Slodowy P., Simple singularities and simple algebraic groups, Lect. Notes Math., 815, Springer, Berlin, 1980 | MR | Zbl
[23] Wall C. T. C., “A note on symmetry of singularities”, Bull. London Math. Soc., 12 (1980), 169–175 | DOI | MR | Zbl