On GL_n(F) invariant algebraic cones with extreme values of relative codimension

Czasopismo : Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
Tytuł artykułu : On GL_n(F) invariant algebraic cones with extreme values of relative codimension

Autorzy :
Anioł, G.
Faculty of Mathematics and Computer Science Adam Mickiewicz University, Jana Matejki 48/49, 60-769 Poznań, Poland, ganiol@amu.edu.pl,
Banaś, J.
Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów, piejko@prz.rzeszow.pl,
Bedouhene, F.
Depart.Maths.Faculté Sciences, Université de Tizi-Ouzou, Algérie, morsli@ifrance.com,
Benchohra, M.
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece, antouyas@cc.uci.gr,
Bilgin, T.
Department of Mathematics University of 100.Yil, Van-Turkey,
Cichoń, M.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland, mcichon@amu.edu.pl,
Derrab, F.
Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria,
Wang, J. C.
Department of Math., Suzhou University Suzhou, 215006, P.R. China,
Kita, H.
Department of Mathematics, Faculty of Education Kagoshima University, Korimoto 1-chome Kagoshima 890-0065, Japan, hkita@edu.kagoshima-u.ac.jp,
Misiak, A.
Instytut Matematyki, Politechnika Szczecińska, Al.Piastów 17, 70-310 Szczecin, misiak@arcadia.tuniv.szczecin.pl,
Narloch, A.
Szczecin University, Institute of Mathematics ul. Wielkopolska 15, 70-451 Szczecin, Poland, narloch@sus.univ.szczecin.pl,
Pradolini, G.
Programa Especial de Matematica Aplicata. Universidad Nacional del Litoral. Guernes 3450, 3000, santa Fe, Rep. Argentina,
Roszak, B.
Institute of Mathematics, University of Zielona Góra Plac Słowiański 9, 65-069 Zielona Góra, Poland, brosz@lord.wsp.zgora.pl,
Skrzyński, M.
Institute of Mathematics Cracow University of Technology, ul. Warszawska 24, PL 31-155 Cracow, Poland, skrzynski@im.uj.edu.pl,
Abstrakty : The GL_n(F)-invariant irreducible algebraic cones with relative codimension equal to 1 are completely characterized, which improves a result of [10]. Certain necessary and sufficient conditions for a GL_n(F) invariant irreducible algebraic cone to be the closure of the cone over a single conjugacy class are given. Some examples of applications of the results are presented.

Słowa kluczowe : irreducible algebraic cone, GL_n(F)-invariant set of matrices, rank function, rank variety, relative codimension, GL_n(F)-invariant polynomial,
Wydawnictwo : Polskie Towarzystwo Matematyczne
Rocznik : 2001
Numer : [Z] 41
Strony : 183 – 193
Bibliografia :
DOI :
Cytuj : Anioł, G. ,Banaś, J. ,Bedouhene, F. ,Benchohra, M. ,Bilgin, T. ,Cichoń, M. ,Derrab, F. ,Wang, J. C. ,Kita, H. ,Misiak, A. ,Narloch, A. ,Pradolini, G. ,Roszak, B. ,Skrzyński, M. , On GL_n(F) invariant algebraic cones with extreme values of relative codimension. Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae [Z] 41/2001
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