Dr Alexander Baranov


School/Department: Computing and Mathematic Sciences, School of

Telephone: +44 (0)116 252 2519



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



Alexander Baranov, Alexandre Zalesski, Weight zero in tensor-decomposable irreducible representations of simple algebraic groups, Journal of Pure and Applied Algebra 225 (2021), 106768.

Alexander Baranov, Hogir M. Yaseen, Lie algebras graded by the weight system (Θnsln), J. Algebra 581 (2021), 1-44.

Alexander Baranov, Hasan Shlaka, Jordan-Lie inner ideals of finite dimensional associative algebras, Journal of Pure and Applied Algebra 224 (2020), 106189.

Alexander Baranov, Antonio Fernández López, Maximal zero product subrings and inner ideals of simple rings, J.Algebra 538 (2019), 140-148.

Alexander Baranov, Andrey Mudrov, Vadim Ostapenko, Quantum exceptional group G2 and its conjugacy classes, Algebras and Representation Theory (2019),

Alexander Baranov, Andrey Mudrov, Hasan Shlaka, Wedderburn-Malcev decomposition of one-sided ideals of finite dimensional algebras, Commun. in Algebra 46 (2018), 3605-3607. 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.

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.

A.A. Baranov, Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups, J. Algebra 381 (2013), 73-95.

A.A. Baranov, J. Rowley, Inner ideals of simple locally finite Lie algebras, J. Algebra 379 (2013), 11-30.



Lie algebras and their representations

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Lie algebras and their representations
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