Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2015_27_4_a2, author = {M. V. Ignatyev and A. A. Shevchenko}, title = {On tangent cones to {Schubert} varieties in type~$D_n$}, journal = {Algebra i analiz}, pages = {28--49}, publisher = {mathdoc}, volume = {27}, number = {4}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2015_27_4_a2/} }
M. V. Ignatyev; A. A. Shevchenko. On tangent cones to Schubert varieties in type~$D_n$. Algebra i analiz, Tome 27 (2015) no. 4, pp. 28-49. http://geodesic.mathdoc.fr/item/AA_2015_27_4_a2/
[1] Burbaki N., Gruppy i algebry Li, Gl. 4–6, Mir, M., 1972 | MR
[2] Eliseev D. Yu., Panov A. N., “Kasatelnye konusy k mnogoobraziyam Shuberta dlya $A_n$ malogo ranga”, Zap. nauch. semin. POMI, 394, 2011, 218–225 | MR
[3] Eliseev D. Yu., Ignatev M. V., “Mnogochleny Kostanta–Kumara i kasatelnye konusy k mnogoobraziyam Shuberta dlya involyutsii v $A_n$, $F_4$ i $G_2$”, Zap. nauch. semin. POMI, 414, 2013, 82–105 ; arXiv: 1210.5740[math.RT]
[4] Ignatev M. V., “Poryadok Bryua–Shevalle na involyutsiyakh v giperoktaedralnoi gruppe i kombinatorika zamykanii $B$-orbit”, Zap. nauch. semin. POMI, 400, 2012, 166–188 ; arXiv: 1112.2624[math.RT] | MR
[5] Ignatev M. V., “Ortogonalnye podmnozhestva klassicheskikh sistem kornei i koprisoedinennye orbity unipotentnykh grupp”, Mat. zametki, 86:1 (2009), 65–80 ; arXiv: 0904.2841[math.RT] | DOI | MR | Zbl
[6] Ignatev M. V., “Ortogonalnye podmnozhestva sistem kornei i metod orbit”, Algebra i analiz, 22:5 (2010), 104–130 ; arXiv: 1007.5220[math.RT] | MR | Zbl
[7] Kirillov A. A., “Unitarnye predstavleniya nilpotentnykh grupp Li”, Uspekhi mat. nauk, 17:4 (1962), 57–110 | MR | Zbl
[8] Kirillov A. A., Lektsii po metodu orbit, Nauch. kniga, Novosibirsk, 2002
[9] Panov A. N., “Involyutsii v $S_n$ i assotsiirovannye koprisoedinennye orbity”, Zap. nauch. semin. POMI, 349, 2007, 150–173 | MR
[10] Khamfri Dzh., Lineinye algebraicheskie gruppy, Mir, M., 1980
[11] Billey S., “Kostant polynomials and the cohomology ring for $G/B$”, Duke Math. J., 96:1 (1999), 205–224 | DOI | MR | Zbl
[12] Bjorner A., Brenti F., Combinatorics of Coxeter groups, Grad. Texts in Math., 231, Springer, New York, 2005 | MR | Zbl
[13] Bochkarev M. A., Ignatyev M. V., Shevchenko A. A., “Tangent cones to Schubert varieties in types $A_n$, $B_n$ and $C_n$”, J. Algebra (to appear)
[14] Billey S., Lakshmibai V., Singular loci of Schubert varieties, Progr. in Math., 182, Birkhäuser, Boston, MA, 2000 | MR | Zbl
[15] Deodhar V. V., “On the root system of a Coxeter group”, Comm. Algebra, 10:6 (1982), 611–630 | DOI | MR | Zbl
[16] Dyer D., “The nil Hecke ring and Deodhar's conjecture on Bruhat intervals”, Invent. Math., 111:3 (1993), 571–574 | DOI | MR | Zbl
[17] Humphreys J., Reflection groups and Coxeter groups, Cambridge Stud. Adv. Math., 29, Cambridge Univ. Press, Cambridge, 1990 | MR | Zbl
[18] Ignatyev M. V., “Combinatorics of $B$-orbits and the Bruhat–Chevalley order on involutions”, Transform. Groups, 17:3 (2012), 747–780 ; arXiv: 1101.2189[math.RT] | DOI | MR | Zbl
[19] Kostant B., The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group, arXiv: 1101.5382[math.RT] | MR
[20] Kostant B., Center of $U(\mathfrak n)$, cascade of orthogonal roots and a construction of Lipsman–Wolf, arXiv: 1201.4494[math.RT] | MR
[21] Kostant B., Coadjoint structure of Borel subgroups and their nilradicals, arXiv: 1205.2362[math.RT]
[22] Kostant B., Kumar S., “The nil-Hecke ring and cohomology of $G/P$ for a Kac–Moody group $G$”, Adv. Math., 62:3 (1986), 187–237 | DOI | MR | Zbl
[23] Kostant B., Kumar S., “$T$-equivariant $K$-theory of generalized flag varieties”, J. Differential Geom., 32:2 (1990), 549–603 | MR | Zbl
[24] Kumar S., “The nil Hecke ring and singularities of Schubert varieties”, Invent. Math., 123:3 (1996), 471–506 | DOI | MR | Zbl
[25] Springer T. A., “Some remarks on involutions in Coxeter groups”, Comm. Algebra, 10:6 (1982), 631–636 | DOI | MR | Zbl