@article{TMF_2009_159_2_a2,
author = {D. I. Gurevich and P. N. Pyatov and P. A. Saponov},
title = {Spectral parameterization for power sums of a~quantum supermatrix},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {207--219},
year = {2009},
volume = {159},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a2/}
}
TY - JOUR AU - D. I. Gurevich AU - P. N. Pyatov AU - P. A. Saponov TI - Spectral parameterization for power sums of a quantum supermatrix JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 207 EP - 219 VL - 159 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a2/ LA - ru ID - TMF_2009_159_2_a2 ER -
D. I. Gurevich; P. N. Pyatov; P. A. Saponov. Spectral parameterization for power sums of a quantum supermatrix. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 2, pp. 207-219. http://geodesic.mathdoc.fr/item/TMF_2009_159_2_a2/
[1] D. I. Gurevich, P. N. Pyatov, P. A. Saponov, Algebra i analiz, 17:1 (2005), 160–182 ; arXiv: math.QA/0412192 | MR | Zbl
[2] D. I. Gurevich, P. N. Pyatov, P. A. Saponov, TMF, 147:1 (2006), 14–46 ; arXiv: math.QA/0508506 | DOI | MR | Zbl
[3] D. I. Gurevich, P. N. Pyatov, P. A. Saponov, Algebra i analiz, 20:2 (2008), 70–133 ; arXiv: math.QA/0612815 | MR
[4] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Math. Monogr., Clarendon Press, Oxford Univ. Press, Oxford–New York, 1995 | MR | Zbl
[5] A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov, J. Phys. A, 32:9 (1999), L115–L121 ; arXiv: math.QA/9809170 | DOI | MR | Zbl
[6] A. Ram, Proc. London Math. Soc., 75:1 (1997), 99–133 ; arXiv: math.RT/9511223 | DOI | MR | Zbl
[7] O. Ogievetsky, P. Pyatov, “Lecture on Hecke algebras”, Symmetries and Integrable Systems, Proc. Int. School (Dubna, Russia, June 8–11, 1999), ed. S. Z. Pakulyak, JINR, Dubna, 2000, 39–88; Preprint MPIM 2001-40, http://www.mpim-bonn.mpg.de/ html/preprints/preprints.html
[8] P. H. Hai, Acta Math. Vietnam., 24:2 (1999), 235–246 | MR | Zbl
[9] A. Isaev, O. Ogievetsky, P. Pyatov, Czech. J. Phys., 48:11 (1998), 1369–1374 ; arXiv: math.QA/9809047 | DOI | MR | Zbl
[10] A. Isaev, P. Pyatov, Spectral extension of the quantum group contagent bundle, arXiv: 0812.2225
[11] T. Umeda, Proc. Amer. Math. Soc., 126:11 (1998), 3169–3175 | DOI | MR | Zbl
[12] O. V. Ogievetsky, P. N. Pyatov, Orthogonal and symplectic quantum matrix algebras and Cayley–Hamilton theorem for them, arXiv: math.QA/0511618
[13] D. Gurevich, P. Saponov, “Geometry of non-commutative orbits related to Hecke symmetries”, Quantum Groups, Proc. Conf. in Memory of J. Donin (Haifa, Israel, July 5–12, 2004), Contemp. Math., 433, eds. P. Etingof, S. Gelaki, S. Shnider, Amer. Math. Soc., Providence, RI, 2007, 209–250 ; arXiv: math/0411579 | DOI | MR | Zbl