Список моих публикаций

• M. Atamanova, A. Luzgarev, Exceptional groups are groups of linear transformations preserving systems of quadrics, preprint, pdf.
• M. Atamanova, A. Luzgarev, Cubic forms on adjoint representations of exceptional groups, Zap. Nauchn. Sem. PDMI (2015), pdf.
• N. Vavilov, A. Luzgarev, Normalizer of the Chevalley group of type E₇, Algebra i Analiz, 27 (2015), no. 6, pp. 57–88, pdf.
• A. Luzgarev, N. Vavilov, Calculations in exceptional groups, an update, J. Math. Sci., 209 (2015), no. 6, pp. 922–934, pdf.
• A. Luzgarev, Equations determining the orbit of the highest weight vector in the adjoint representation (2014), pp. 1–13, pdf, see also http://arxiv.org/abs/1401.0849.
• A. Luzgarev, Fourth-degree invariants for G(E₇, R) not depending on the characteristic, Vestn. St. Petersbg. Univ., Math. 46 (2013), no. 1, pp. 29–34, pdf.
• A. Luzgarev, A. Stavrova, Elementary subgroup of an isotropic reductive group is perfect, St. Petersburg Math. J. 23 (2012), no. 5, pp. 881–890, pdf, see also http://arxiv.org/abs/1001.1105.
• N. Vavilov, A. Luzgarev, Chevalley group of type E₇ in the 56-dimensional representation, J. Math. Sci, 180 (2012), no. 3, pp. 197–251, pdf.
• N. Vavilov, A. Luzgarev, A. Stepanov, Calculations in exceptional groups over rings, J. Math. Sci., 168 (2010), no. 3, pp. 334–348, pdf.
• A. Luzgarev, Overgroups of F₄ in E₆ over commutative rings, St. Petersburg Math. J. 20 (2009), no. 6, pp. 955–981, pdf.
• N. Vavilov, A. Luzgarev, Normalizer of the Chevalley group of type E₆, St. Petersburg Math J. 19 (2008), no. 5, pp. 699–718, pdf.
• N. Vavilov, A. Luzgarev, I. Pevzner, Chevalley group of type E₆ in the 27-dimensional representation, J. Math. Sci., 145 (2007), no. 1, pp. 4697–4736, pdf.
• A. Luzgarev, On overgroups of E(E₆, R) and E(E₇, R) in their minimal representations, J. Math. Sci., 134 (2006), no. 6, pp. 2558–2571, pdf.
• A. Luzgarev, I. Pevzner, Private Life of GL(5, Z), J. Math. Sci. 130 (2004), no. 3, pp. 4729–4733, pdf.