Dr Alexander Baranov

Lecturer

School/Department: Computing and Mathematic Sciences, School of

Research

Research Interests: Lie algebras finite and algebraic groups and their representations data analysis and AI.

Publications

Alexander Baranov, Alexandre Zalesski, Weight zero in tensor-decomposable irreducible representations of simple algebraic groups, Journal of Pure and Applied Algebra 225 (2021), 106768. https://doi.org/10.1016/j.jpaa.2021.106768

Alexander Baranov, Hogir M. Yaseen, Lie algebras graded by the weight system (Θnsln), J. Algebra 581 (2021), 1-44. https://doi.org/10.1016/j.jalgebra.2021.04.007

Alexander Baranov, Hasan Shlaka, Jordan-Lie inner ideals of finite dimensional associative algebras, Journal of Pure and Applied Algebra 224 (2020), 106189. https://doi.org/10.1016/j.jpaa.2019.07.011

Alexander Baranov, Antonio Fernández López, Maximal zero product subrings and inner ideals of simple rings, J.Algebra 538 (2019), 140-148. https://doi.org/10.1016/j.jalgebra.2019.07.016

Alexander Baranov, Andrey Mudrov, Vadim Ostapenko, Quantum exceptional group G2 and its conjugacy classes, Algebras and Representation Theory (2019), https://doi.org/10.1007/s10468-019-09913-4

Alexander Baranov, Andrey Mudrov, Hasan Shlaka, Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras, Commun. in Algebra 46 (2018), 3605-3607. https://doi.org/10.1080/00927872.2018.1424876 arXiv:1609.05812

Alexander Baranov, Simple locally finite Lie algebras of diagonal type, in Lie Algebras and Related Topics, Contemporary Mathematics, vol. 652, Amer. Math. Soc., Providence, RI, 2015, pp. 47-60. http://dx.doi.org/10.1090/conm/652

A.A. Baranov, A.A. Osinovskaya, I.D. Suprunenko, Modular representations of the special linear groups with small weight multiplicities, J. Algebra 397 (2014), 225 - 251. http://doi.org/10.1016/j.jalgebra.2013.08.032

A.A. Baranov, Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups, J. Algebra 381 (2013), 73-95. http://doi.org/10.1016/j.jalgebra.2013.02.004

A.A. Baranov, J. Rowley, Inner ideals of simple locally finite Lie algebras, J. Algebra 379 (2013), 11-30. http://doi.org/10.1016/j.jalgebra.2012.12.021

Supervision

Lie algebras and their representations

Press and media

Lie algebras and their representations