01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
22.12.1984
E-mail:
Keywords:
Lie groups, invariant theory.
UDC:
512.815.1, 512.816.2
Subject:
Lie groups, invariant theory, quotient spaces of linear Lie groups.
Main publications:
Styrt O.G., “On the orbit spaces of irreducible representations of simple compact Lie groups of types B, C, and D”, Journal of Algebra, 415 (2014), 137–161
O. G. Styrt, “Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group”, Math. Notes, 113:3 (2023), 434–440
2.
O. G. Styrt, “Orthogonality graphs of matrices over commutative rings”, Intelligent systems. Theory and applications, 27:1 (2023), 24–34
3.
O. G. Styrt, “Topological and homological properties of the orbit space of a simple three-dimensional compact linear Lie group”, Chebyshevskii Sb., 23:3 (2022), 169–177
O. G. Styrt, “On the orbit space of a three-dimensional compact linear Lie group”, Izv. Math., 75:4 (2011), 815–836 , arXiv: https://arxiv.org/abs/1411.7963
10.
O. G. Styrt, “Space of orbits of a three-dimensional simple compact linear Lie group”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6, 51–52
11.
O. G. Styrt, “On the orbit space of a compact linear Lie group with commutative connected component”, Transactions of the Moscow Mathematical Society, 70 (2009), 171–206 , arXiv: https://arxiv.org/abs/1411.5958
Thesis
12.
O. G. Styrt, Kompaktnye lineinye gruppy s faktorprostranstvom, gomeomorfnym kletke, Diss. … kand. fiz.-matem. nauk, Moskovskii gosudarstvennyi universitet imeni M.V. Lomonosova, Moskva, 2011 , 54 pp.
Preprints
13.
O. G. Styrt, The existence of a semialgebraic continuous factorization map for some compact linear groups, Journal of Algebra (in press), Lomonosov MSU, Moscow, 2015 , 6 pp. http://arxiv.org/abs/1501.02328
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