Geodesic
Gröbner bases and the immersion of real flag manifolds in Euclidean space
Mathematica slovaca, Tome 51 (2001) no. 1, pp. 107-123
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 57R20, 57R42 
@article{MASLO_2001_51_1_a9,
     author = {Mendes, Mirian Percia and Conde, Antonio},
     title = {Gr\"obner bases and the immersion of real flag manifolds in {Euclidean} space},
     journal = {Mathematica slovaca},
     pages = {107--123},
     year = {2001},
     volume = {51},
     number = {1},
     mrnumber = {1817727},
     zbl = {0986.57024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a9/}
}
TY  - JOUR
AU  - Mendes, Mirian Percia
AU  - Conde, Antonio
TI  - Gröbner bases and the immersion of real flag manifolds in Euclidean space
JO  - Mathematica slovaca
PY  - 2001
SP  - 107
EP  - 123
VL  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a9/
LA  - en
ID  - MASLO_2001_51_1_a9
ER  - 
%0 Journal Article
%A Mendes, Mirian Percia
%A Conde, Antonio
%T Gröbner bases and the immersion of real flag manifolds in Euclidean space
%J Mathematica slovaca
%D 2001
%P 107-123
%V 51
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a9/
%G en
%F MASLO_2001_51_1_a9
Mendes, Mirian Percia; Conde, Antonio. Gröbner bases and the immersion of real flag manifolds in Euclidean space. Mathematica slovaca, Tome 51 (2001) no. 1, pp. 107-123. http://geodesic.mathdoc.fr/item/MASLO_2001_51_1_a9/

[1] ADAMS W. W.-LOUSTAUNAU P.: An Introduction to Gröbner Bases. Grad. Stud. Math. 3, Amer. Math. Soc, Providence, RI, 1994. | MR | Zbl

[2] BARTÍK V.-KORBAŠ J.: Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds. Rend. Circ Mat. Palermo (2) Suppl. 6 (1984), 19-29. | MR | Zbl

[3] BOREL A.: La cohomologie mod 2 de certains espaces homogènes. Comment. Math. Helv. 27 (1953), 165-97. | MR | Zbl

[4] BOREL A.: Sur la cohomologie des espaces fibres principaux et des espaces homogènes de groupes de Lie compact. Ann. of Math. (2) 57 (1953), 11-207. | MR

[5] BOREL A.-HIRZEBRUCH F.: Characteristic classes and homogeneous spaces I. Amer. J. Math. 80 (1958), 458-535. | MR

[6] CONDE A.: B-Genus and Non-Embeddings. PhD Thesis, University of Chicago. Chicago, 1971. | MR

[7] CONDE A.: Sobre as classes de Atiyah-Hirzebruch, de Thom, o problema do mergulho e variedades flâmulas. Tese (Livre-Docência)-Instituto de Ciências Matemáticas, Universidade de São Paulo, São Carlos, 1979.

[8] COX D.-LITTLE J.-O'SHEA D.: Ideals, Varгeties and Algorithms. Undergrad. Texts Math., Springer, New York, 1992.

[9] GITLER S.: Immersion and embedding of manifolds. In: Algebraic Topology. Proc Sympos. Pure Math. 22, Amer. Math. Soc, Providence, RI, 1971, pp. 87-96. | MR | Zbl

[10] HILLER H.: Immersing homogeneous spaces in Euclidean space. Publ., Secc. Mat., Univ. Auton. Bare 26 (1982), 43-45. | MR | Zbl

[11] HILLER H.-STONG R. E.: Immersion dimension for real grassmannians. Math. Ann. 255 (1981), 361-367. | MR | Zbl

[12] HIRSCH M. W.: Immersions of manifolds. Trans. Amer. Math. Soc. 93 (1959), 242-276. | MR | Zbl

[13] HUSEMOLLER D.: Fibre Bundles. Mc Graw-Hill, New York, 1966. | MR | Zbl

[14] KORBAŠ J.: Vector fields on real flag manifolds. Ann. Global Anal. Geom. 3 (1985), 173 84. | MR | Zbl

[15] KORBAS J.: Note on Stiefel-Whitney classes of flag manifolds. Rend. Circ. Mat. Palermo (2) Suppl. 16 (1987), 109-111. | MR | Zbl

[16] LAM K. Y.: A formula for the tangent bundle of flag manifolds and related manifolds. Trans. Amer. Math. Soc. 213 (1975), 305-314. | MR | Zbl

[17] LANG S.: Linear Algebra. (3rd ed.), Springer, New York, 1987. | MR | Zbl

[18] MENDES M. P.: An algebraic problem and the software Maple. (In preparation). | Zbl

[19] MILNOR J. W.-STASHEFF J. D.: Characteristic Classes. Ann. of Math. Stud. 76, Princeton Univ. Press-Univ. of Tokyo Press, Princeton, NJ, 1974. | MR | Zbl

[20] SANKARAN P.-ZVENGROWSKI P.: On stable parallelizability of flag manifolds. Pacific J. Math. 122 (1986), 455-458. | MR | Zbl

[21] STEENROD N.: The Topology of Fibre Bundles. Princeton Math. Ser. 14, Princeton Univ. Press, Princeton, NJ, 1951. | MR | Zbl

[22] STONG R. E.: Immersions of real flag manifolds. Proc Amer. Math. Soc 88 (1983), 708-710. | MR | Zbl

[23] WHITEHEAD G. W.: Elements ofmhomotopy theory. Grad. Texts in Math. 61, Springer-Verlag, Berlin-Heidelberg-New York, 1978. | MR

[24] ZVENGROWSKI P.: Recent work in the parallelizability of flag manifolds. In: Contemp. Math. 58, Amer. Math. Soc, Providence, RI. 1987, pp. 129-137. | MR