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[versions of texts posted here are newer than those in arXiv] publications[11] Invariants of Lie algebras extended over commutative algebras without unit, J. Nonlin. Math. Phys., to appear; arXiv:0901.1395.[10] Non-existence of invariant symmetric forms on generalized Jacobson-Witt algebras revisited, Comm. Algebra, to appear; arXiv:0902.0038. [9] (with Askar Dzhumadil'daev) Commutative 2-cocycles on Lie algebras, J. Algebra 324 (2010), 732-748; arXiv:0907.4780. ← [8] ω-Lie algebras, J. Geom. Phys. 60 (2010), 1028-1044; arXiv:0812.0080. [accompanying GAP code] [7] A converse to the Whitehead Theorem, J. Lie Theory 18 (2008), 811-815; arXiv:0808.0212. [6] A converse to the Second Whitehead Lemma, J. Lie Theory 18 (2008), 295-299; arXiv:0704.3864. [5] Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds, Lin. Algebra Appl. 407 (2005), 71-104; arXiv:math/0302334. [4] Deformations of W1(n) ⊗ A and modular semisimple Lie algebras with a solvable maximal subalgebra, J. Algebra 268 (2003), 603-635; arXiv:math/0204004. [3] The second homology group of current Lie algebras, Astérisque 226 (1994), 435-452; arXiv:0808.0217. [2] Central extensions of current algebras, Trans. Amer. Math. Soc. 334 (1992), 143-152; Erratum and addendum: 362 (2010), 5601-5603; arXiv:0812.2625. [1] A Lie algebra that can be written as a sum of two nilpotent subalgebras, is solvable, Math. Notes 50 (1991), 909-912; arXiv:0911.5418. [Russian original] Offprints of items 1 and 4-7 will be gladly provided upon request to any collector of dead trees, as I don't know what to do with them. manuscripts[*] How Euler would compute the Euler-Poincaré characteristic of a Lie superalgebra, arXiv:0812.2255.[*] (with Askar Dzhumadil'daev) The alternative operad is not Koszul, arXiv:0906.1272. ← [*] On δ-derivations of Lie algebras and superalgebras, arXiv:0907.2034. ← [*] On the utility of Robinson-Amitsur ultrafilters, arXiv:0911.5414. bits and pieces[#] Cohomology of algebras (synopsis of lectures at South China Normal Univ., May-June 2010).[#] Low-dimensional cohomology of current Lie algebras (talk at Mathematics colloquium at Univ. of Iceland, September 2009). [#] Questions on Lie algebras of cohomological dimension 1 (last revised September 2009). [#] Lie algebras that can be written as the sum of two nilpotent subalgebras (last revised September 2008). [#] Maximum likelihood and EM algorithm (talk at Statistics colloquium at Univ. of Iceland, March 2007). [#] Leites' (super)questions (last revised January 2005). [#] A question - Lie-algebraic monster (June 2004; in Russian). [#] On minimal nonabelian Lie algebras of characteristic zero (in Russian; an ancient (circa 1986) note published in some collection of students' works) [1] [2] [3] [4] [5] reviewsMathematical Reviews (as of January 2010) |