Cohomology of algebras

• N. Bourbaki, Groupes et algèbres de Lie, Chap. 1-3, 7-8, Hermann, Paris, 1972, 1975; reprinted by Springer, 2006, 2007
• W.A. de Graaf, Lie Algebras: Theory and Algorithms, North-Holland, 2000
• J.E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, 3rd revised printing, 1980
• N. Jacobson, Lie Algebras, Interscience Publ., 1962; reprinted by Dover, 1979
• V.G. Kac, Infinite Dimensional Lie Algebras, 3rd ed., Cambridge Univ. Press, 1995
• R.S. Pierce, Associative Algebras, Springer, 1982
• C. Procesi, Lie Groups. An Approach through Invariants and Representations, Springer, 2007
• H. Strade, Simple Lie Algebras over Fields of Positive Characteristic. I. Structure Theory, 2nd ed., De Gruyter, 2017

• J. Brodzki, An Introduction to K-Theory and Cyclic Cohomology, PWN-Polish Scientific Publishers, Warsaw, 1998; arXiv:funct-an/9606001
• T. Chow, You could have invented spectral sequences, Notices Amer. Math. Soc. 53 (2006), no.1, 15-19 [AMS] [MIT]
• B.L. Feigin and D.B. Fuchs, Cohomologies of Lie groups and Lie algebras, Encyclopaedia of Mathematical Sciences, Vol. 21, Lie Groups and Lie Algebras II, Springer, 2000, 127-223.
• D.B. Fuchs, Cohomology of Infinite-Dimensional Lie Algebras, Consultants Bureau, N.Y., 1986
• M. Gerstenhaber and S.D. Schack, Algebraic cohomology and deformation theory, Deformation Theory of Algebras and Structures and Applications (ed. M. Gerstenhaber and M. Hazewinkel), Kluwer, 1988, 11-264
• P.J. Hilton and U. Stammbach, A Course on Homological Algebra, 2nd ed., Springer, 1997
• J.-L. Loday, Cyclic Homology, 2nd ed., Springer, 1998

• C. Bennis, Homologie de l'algèbre de Lie \(sl_2(A)\), Comptes Rendus Acad. Sci. Paris 310 (1990), 339-341
• J.-L. Cathelineau, Homologie de degré trois d'algèbres de Lie simple déployées étendues à une algèbre commutative, Enseign. Math. 33 (1987), 159-173
• C. Kassel, Kähler differentials and coverings of complex semisimple Lie algebras extended over a commutative algebra, J. Pure Appl. Algebra 34 (1984), 265-275
• C. Kassel and J.-L. Loday, Extensions centrales d'algèbres de Lie, Ann. Inst. Fourier 32 (1982), no.4, 119-142 [DOI] [u-strasbg.fr]
• P. Zusmanovich, Central extensions of current algebras, Trans. Amer. Math. Soc. 334 (1992), no.1, 143-152
• P. Zusmanovich, Deformations of \(W_1(n) \otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra, J. Algebra 268 (2003), no.2, 603-635
• P. Zusmanovich, Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds, Lin. Algebra Appl. 407 (2005), 71-104

• V. Lopatkin and P. Zusmanovich, Commutative Lie algebras and commutative cohomology in characteristic 2, Comm. Contemp. Math. 23 (2021), no.5, 2050046.
• P. Zusmanovich, A converse to the Second Whitehead Lemma, J. Lie Theory 18 (2008), no.2, 295-299
• P. Zusmanovich, On Lie p-algebras of cohomological dimension one, Indag. Math. 30 (2019), no.2, 288-299

• P. Cartier, What is an operad?, Surveys in Modern Mathematics. The Independent University of Moscow Seminars (ed. V. Prasolov and Yu. Ilyashenko), London Math. Soc. Lect. Note Ser. 321 (2005), 283-291
• J.-L. Loday and B. Vallette, Algebraic Operads, Springer, 2012 [u-strasbg.fr] [DOI]
• J. Stasheff, What is... an operad?, Notices Amer. Math. Soc. 51 (2004), no.6, 630-631

• W. Fulton, Young Tableaux, 2nd corrected printing, Cambridge Univ. Press, 1999