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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