Selected Publications

Paper

Journal

Almost fine gradings on algebras and classification of gradings up to isomorphism
(with A. Elduque)
Preprint arXiv 2308.07230, 17 pp.
Gradings on associative algebras with involution and real forms of classical simple Lie algebras
(with A. Elduque and A. Rodrigo-Escudero)
Journal of Algebra 590 (2022), p. 61-138
(The original publication is available at www.sciencedirect.com
Graded-division algebras and Galois extensions
(with A. Elduque)
Journal of Pure and Applied Algebra 225 (2021), no. 12, 106773, 33 pp.
(The original publication is available at www.sciencedirect.com
Graded-division algebras over arbitrary fields
(with Y. Bahturin and A. Elduque)
Journal of Algebra and Its Applications 20 (2021), no. 1, 2140009, 28 pp.
(The original publication is available at www.worldscientific.com
Graded modules over simple Lie algebras
(with Y. Bahturin and A. Shihadeh; survey)
Revista Colombiana de Matemáticas 53 (2019), no. E, p. 45-86
(The original publication is available at scm.org.co)
Group gradings on the Lie and Jordan algebras of block-triangular matrices
(with F. Yukihide Yasumura)
Journal of Algebra 537 (2019), p. 147-172
(The original publication is available at www.sciencedirect.com)
On nonassociative graded-simple algebras over the field of real numbers
(with Y. Bahturin)
Contemporary Mathematics 728 (2019), p. 25-48
(The original publication is available at www.ams.org)
Group gradings on the superalgebras M(m,n), A(m,n) and P(n)
(with H. S. Dos Santos and C. De Naday Hornhardt)
Journal of Pure and Applied Algebra 223 (2019), no. 4, p. 1590-1616
(The original publication is available at www.sciencedirect.com)
Gradings on the simple real Lie algebras of types G2 and D4
(with A. Elduque)
Journal of Algebra 512 (2018), p. 382-426
(The original publication is available at www.sciencedirect.com)
Gradings on classical central simple real Lie algebras
(with Y. Bahturin and A. Rodrigo-Escudero)
Journal of Algebra 506 (2018), p. 1-42
(The original publication is available at www.sciencedirect.com)
Classification of involutions on graded-division simple real algebras
(with Y. Bahturin and A. Rodrigo-Escudero)
Linear Algebra and its Applications 546 (2018), p. 1-36
(The original publication is available at www.sciencedirect.com)
Gradings on modules over Lie algebras of E types
(with C. Draper and A. Elduque)
Algebras and Representation Theory 20 (2017), no. 5, p. 1085-1107
(The original publication is available at link.springer.com)
Graded simple modules and loop modules
(with A. Elduque)
Contemporary Mathematics 688 (2017), p. 53-85
(The original publication is available at www.ams.org)
Group gradings on the Lie and Jordan superalgebras Q(n)
(with Y. Bahturin, H. S. Dos Santos and C. De Naday Hornhardt)
Communications in Algebra 45 (2017), no. 5, p. 1914-1925
(The original publication is available at www.tandfonline.com)
Gradings on the Lie algebra D4 revisited
(with A. Elduque)
Journal of Algebra 441 (2015), p. 441-474
(The original publication is available at www.sciencedirect.com)
On rigidity of Nichols algebras
(with I. Angiono and M. Mastnak)
Journal of Pure and Applied Algebra 219 (2015), no. 12, p. 5539-5559
(The original publication is available at www.sciencedirect.com)
Graded modules over classical simple Lie algebras with a grading
(with A. Elduque)
Israel Journal of Mathematics 207 (2015), no. 1, p. 229-280
(The original publication is available at link.springer.com)
A (Z4)3-grading on a 56-dimensional simple structurable algebra and related fine gradings on the simple Lie algebras of type E
(with D. Aranda and A. Elduque)
Commentationes Mathematicae Univ. Carolinae 55 (2014), no. 3, p. 285-313
(The original publication is available at cmuc.karlin.mff.cuni.cz)
Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities
(with A. Gordienko)
Algebras and Representation Theory 17 (2014), no. 2, p. 539-563
(The original publication is available at link.springer.com)
Counting fine gradings on matrix algebras and on classical simple Lie algebras
(with N. Parsons and S. Sadov)
International J. of Algebra and Computation 23 (2013), no. 27, 1755, 27 pp.
(The original publication is available at dx.doi.org)
Weyl groups of fine gradings on simple Lie algebras of types A, B, C and D
(with A. Elduque)
Serdica Mathematical Journal 38 (2012), p. 7-36
(The original publication is available at www.math.bas.bg)
Group gradings on finitary simple Lie algebras
(with Y. Bahturin and M. Bresar)
International J. of Algebra and Computation 22 (2012), no. 5, 1250046, 46 pp.
(The original publication is available at www.worldscientific.com)
Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra
(with A. Elduque)
Journal of Algebra 366 (2012), p. 165-186
(The original publication is available at www.sciencedirect.com)
Gradings on the exceptional Lie algebras F4 and G2 revisited
(with A. Elduque)
Revista Matematica Iberoamericana 28 (2012), no. 3, p. 775-815
(The original publication is available at www.ems-ph.org)
Group gradings on restricted Cartan type Lie algebras
(with Y. Bahturin)
Pacific Journal of Mathematics 253 (2011), no. 2, p. 289-319
(The original publication is available at msp.org)
Classification of group gradings on simple Lie algebras of types A, B, C and D
(with Y. Bahturin)
Journal of Algebra 324 (2010), no. 11, p. 2971-2989
(The original publication is available at www.sciencedirect.com)
Gradings on finite-dimensional simple Lie algebras
(survey)
Acta Applicandae Mathematicae 108 (2009), p. 101-127
(The original publication is available at www.springerlink.com)
Group gradings on the Lie algebra psln in positive characteristic
(with Y. Bahturin)
Journal of Pure and Applied Algebra 213 (2009), no. 9, p. 1739-1749
(The original publication is available at www.sciencedirect.com)
Group gradings on simple Lie algebras in positive characteristic
(with Y. Bahturin and S. Montgomery)
Proceedings of AMS 137 (2009), no. 4, p. 1245-1254
(The original publication is available at www.ams.org)
Engel's Theorem for generalized Lie algebras
(with O. Radu)
Algebras and Representation Theory 13 (2010), no. 1, p. 69-77
(The original publication is available at www.springerlink.com)
Generalized Lie algebras and cocycle twists
 
Communications in Algebra 36 (2008), no. 11, p. 4032-4051
(The original publication is available at www.tandfonline.com)
Orderings and *-orderings on cocommutative Hopf algebras
(with J. Cimpric and M. Marshall)
Algebras and Representation Theory 10 (2007), no. 1, p. 25-54
(The original publication is available at www.springerlink.com)


Mikhail Kotchetov
November 26, 2023
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