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 (Russian version), English translation is underway.

N. Vavilov, A. Luzgarev, *Normalizer of the Chevalley group of type* E_{7},
Algebra i Analiz, **27** (2015), no. 6, pp. 57–88, pdf (Russian version), English translation is underway.

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*(E_{7}, *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* E_{7} *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* F_{4} *in* E_{6} *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* E_{6},
St. Petersburg Math J. **19** (2008), no. 5, pp. 699–718, pdf.

N. Vavilov, A. Luzgarev, I. Pevzner, *Chevalley group of type* E_{6} *in the* 27-*dimensional representation*,
J. Math. Sci., **145** (2007), no. 1, pp. 4697–4736, pdf.

A. Luzgarev, *On overgroups of* *E*(E_{6}, *R*) *and* *E*(E_{7}, *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.