Pasha Zusmanovich

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All published works

Action	Title	Year	Authors
+ PDF Chat	A $\delta$-first Whitehead Lemma for Jordan algebras	2024	Arezoo Zohrabi Pasha Zusmanovich
+	A VARIANT OF BAER’S THEOREM	2024	Pasha Zusmanovich
+ PDF Chat	A $\delta$-first Whitehead Lemma for Jordan algebras	2024	Arezoo Zohrabi Pasha Zusmanovich
+ PDF Chat	Mathematicians Going East	2024	Pasha Zusmanovich
+	A variant of Baer's theorem	2023	Pasha Zusmanovich
+ PDF Chat	When Hom-Lie structures form a Jordan algebra	2022	Pasha Zusmanovich
+ PDF Chat	On the utility of Robinson–Amitsur ultrafilters. III	2022	Pasha Zusmanovich
+	On simple 15-dimensional Lie algebras in characteristic 2	2021	A. Grishkov Henrique Guzzo Marina Rasskazova Pasha Zusmanovich
+	On simple $15$-dimensional Lie algebras in characteristic $2$	2021	A. Grishkov Henrique Guzzo Marina Rasskazova Pasha Zusmanovich
+ PDF Chat	On contact brackets on the tensor product	2021	Pasha Zusmanovich
+ PDF Chat	On anticommutative algebras for which <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math> is a derivation	2021	Ivan Kaygorodov Pasha Zusmanovich
+ PDF Chat	A δ-first Whitehead Lemma	2021	Arezoo Zohrabi Pasha Zusmanovich
+	On simple $15$-dimensional Lie algebras in characteristic $2$	2021	A. Grishkov Henrique Guzzo Marina Rasskazova Pasha Zusmanovich
+ PDF Chat	On regular Lie algebras	2020	Pasha Zusmanovich
+ PDF Chat	Commutative Lie algebras and commutative cohomology in characteristic 2	2020	Viktor Lopatkin Pasha Zusmanovich
+ PDF Chat	On Hermitian and Skew-Hermitian Matrix Algebras over Octonions	2020	Arezoo Zohrabi Pasha Zusmanovich
+	On Hermitian and skew-Hermitian matrix algebras over octonions	2019	Arezoo Zohrabi Pasha Zusmanovich
+	Commutative Lie algebras and commutative cohomology in characteristic $2$	2019	Viktor Lopatkin Pasha Zusmanovich
+ PDF Chat	Ado theorem for nilpotent Hom–Lie algebras	2019	Abdenacer Makhlouf Pasha Zusmanovich
+ PDF Chat	Commutative post-Lie algebra structures on Kac–Moody algebras	2019	Dietrich Burde Pasha Zusmanovich
+	Commutative Lie algebras and commutative cohomology in characteristic $2$	2019	Viktor Lopatkin Pasha Zusmanovich
+	On Hermitian and skew-Hermitian matrix algebras over octonions	2019	Arezoo Zohrabi Pasha Zusmanovich
+	On Lie <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e19" altimg="si3.gif"><mml:mi>p</mml:mi></mml:math>-algebras of cohomological dimension one	2018	Pasha Zusmanovich
+ PDF Chat	Hom-Lie structures on Kac–Moody algebras	2018	Abdenacer Makhlouf Pasha Zusmanovich
+	Mathematicians going east	2018	Pasha Zusmanovich
+	Askar Serkulovich Dzhumadil'daev (on his 60th birthday)	2017	L. A. Bokut Efim Zelmanov Pasha Zusmanovich Victor G. Kač Leonid Makar-Limanov Yu. I. Manin S P Novikov Алексей Николаевич Паршин В. П. Платонов I. A. Taĭmanov
+	Non-semigroup gradings of associative algebras	2017	Pasha Zusmanovich
+ PDF Chat	Аскар Серкулович Джумадильдаев (к шестидесятилетию со дня рождения)	2017	L. A. Bokut Efim Zelmanov Pasha Zusmanovich Victor G. Kač Leonid Makar-Limanov Yuri Ivanovich Manin Сергей Петрович Новиков Alexey Nikolaevich Parshin В. П. Платонов I. A. Taĭmanov
+ PDF Chat	Special and exceptional mock-Lie algebras	2016	Pasha Zusmanovich
+	Deformations of current Lie algebras. I. Small algebras in characteristic 2	2016	A. Grishkov Pasha Zusmanovich
+	On the utility of Robinson–Amitsur ultrafilters. II	2016	Pasha Zusmanovich
+	Lie algebras and around: selected questions	2016	Pasha Zusmanovich
+ PDF Chat	On the last question of Stefan Banach	2015	Pasha Zusmanovich
+	Yet another proof of the Ado theorem	2015	Pasha Zusmanovich
+	Yet another proof of the Ado theorem	2015	Pasha Zusmanovich
+ PDF Chat	Melikyan algebra is a deformation of a Poisson algebra	2014	Hayk Melikyan Pasha Zusmanovich
+ PDF Chat	A Compendium of Lie Structures on Tensor Products	2014	Pasha Zusmanovich
+ PDF Chat	Lie Algebras with Given Properties of Subalgebras and Elements	2014	Pasha Zusmanovich
+	On near and the nearest correlation matrix	2013	Pasha Zusmanovich
+	Erratum to “On δ-derivations of Lie algebras and superalgebras” [J. Algebra 324 (12) (2010) 3470–3486]	2013	Pasha Zusmanovich
+	On the utility of Robinson–Amitsur ultrafilters	2013	Pasha Zusmanovich
+	On near(est) correlation matrix	2013	Pasha Zusmanovich
+ PDF Chat	On Shirshov bases of graded algebras	2013	Fedor Petrov Pasha Zusmanovich
+ PDF Chat	Corrigendum	2012
+ PDF Chat	The Alternative Operad Is Not Koszul	2011	Askar Dzhumadil’daev Pasha Zusmanovich
+ PDF Chat	Nonexistence of Invariant Symmetric Forms on Generalized Jacobson–Witt Algebras Revisited	2011	Pasha Zusmanovich
+ PDF Chat	How Euler would compute the Euler–Poincaré characteristic of a Lie superalgebra	2011	Pasha Zusmanovich
+ PDF Chat	Invariants of Lie Algebras Extended Over Commutative Algebras Without Unit	2010	Pasha Zusmanovich
+ PDF Chat	On δ-derivations of Lie algebras and superalgebras	2010	Pasha Zusmanovich
+ PDF Chat	Erratum and addendum to ‘‘Central extensions of current algebras”	2010	Pasha Zusmanovich
+ PDF Chat	Commutative 2-cocycles on Lie algebras	2010	Askar Dzhumadil’daev Pasha Zusmanovich
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>ω</mml:mi></mml:math>-Lie algebras	2010	Pasha Zusmanovich
+	Low-dimensional cohomology of current Lie algebras	2010	Pasha Zusmanovich
+	Non-existence of symmetric invariant forms on simple Lie algebras of the general Cartan type revisited	2009	Pasha Zusmanovich
+	Central extensions of current algebras	2008	Pasha Zusmanovich
+	The second homology group of current Lie algebras	2008	Pasha Zusmanovich
+	A converse to the Whitehead Theorem	2008	Pasha Zusmanovich
+	The second homology group of current Lie algebras	2008	Pasha Zusmanovich
+	Converse Second Whitehead Lemma	2007	Pasha Zusmanovich
+	A converse to the Second Whitehead Lemma	2007	Pasha Zusmanovich
+	Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds	2005	Pasha Zusmanovich
+ PDF Chat	Deformations of W1(n)⊗A and modular semisimple Lie algebras with a solvable maximal subalgebra	2003	Pasha Zusmanovich
+	Low-dimensional cohomology of current Lie algebras and structure functions associated with loop manifolds	2003	Pasha Zusmanovich
+ PDF Chat	A Lie algebra that can be written as a sum of two nilpotent subalgebras is solvable	1991	Pasha Zusmanovich

Common Coauthors

Coauthor	Papers Together
Arezoo Zohrabi	6
A. Grishkov	4
Marina Rasskazova	3
Henrique Guzzo	3
Askar Dzhumadil’daev	3
Viktor Lopatkin	3
В. П. Платонов	2
L. A. Bokut	2
Leonid Makar-Limanov	2
I. P. Shestakov	2
Victor G. Kač	2
Efim Zelmanov	2
I. A. Taĭmanov	2
Abdenacer Makhlouf	2
Ualbai Umirbaev	2
Yu. I. Manin	1
Hayk Melikyan	1
Алексей Николаевич Паршин	1
Ivan Kaygorodov	1
S P Novikov	1
Alexey Nikolaevich Parshin	1
Fedor Petrov	1
Yuri Ivanovich Manin	1
Сергей Петрович Новиков	1
Dietrich Burde	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds	2005	Pasha Zusmanovich	13
+	Modular Lie Algebras and their Representations	2020	Helmut Strade	9
+	Generalized Derivations of Lie Algebras	2000	G. Leger Eugene M. Luks	9
+	Lie Groups and Lie Algebras	2002	Nicolás Bourbaki	7
+ PDF Chat	Commutative 2-cocycles on Lie algebras	2010	Askar Dzhumadil’daev Pasha Zusmanovich	7
+ PDF Chat	Invariants of Lie Algebras Extended Over Commutative Algebras Without Unit	2010	Pasha Zusmanovich	6
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	6
+	The second homology group of current Lie algebras	2008	Pasha Zusmanovich	6
+	Some new simple Lie algebras in characteristic 2	2010	Bettina Eick	6
+	COHOMOLOGY OF TRUNCATED COINDUCED REPRESENTATIONS OF LIE ALGEBRAS OF POSITIVE CHARACTERISTIC	1990	Askar Dzhumadil’daev	6
+	Determination of the Differentiably Simple Rings with a Minimal Ideal	1969	Richard E. Block	5
+	Gradings on Simple Lie Algebras	2013	Alberto Elduque Mikhail Kochetov	5
+ PDF Chat	On the Extensions of Lie Algebras	1968	Richard E. Block	5
+	Tensorial extensions of central simple algebras	1973	Ian Stewart	5
+ PDF Chat	A Compendium of Lie Structures on Tensor Products	2014	Pasha Zusmanovich	5
+	Cohomology of Infinite-Dimensional Lie Algebras	1986	D. B. Fuks	4
+	An Introduction to Nonassociative Algebras	1966	R. D. Schafer	4
+	Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras	1991	Rolf Farnsteiner Helmut Strade	4
+	Lie algebras satisfying identities of degree 5	1996	V. T. Filippov	4
+	Toral Rank One Simple Lie Algebras of Low Characteristics	1998	Serge Skryabin	4
+ PDF Chat	Infinite Dimensional Lie Algebras	1983	Victor G. Kač	4
+	Cohomology of Infinite-Dimensional Lie Algebras	1986	D. B. Fuks	4
+	Structure and Representations of Jordan Algebras	1968	Nathan Jacobson	4
+ PDF Chat	Central extensions of current algebras	1992	Paul Zusmanovich	4
+	The second homology group of current Lie algebras	2008	Pasha Zusmanovich	4
+ PDF Chat	On δ-derivations of Lie algebras and superalgebras	2010	Pasha Zusmanovich	4
+ PDF Chat	On subalgebras of simple Lie algebras of characteristic 𝑝>0	1984	Boris Weisfeiler	3
+	Deformations of current Lie algebras. I. Small algebras in characteristic 2	2016	A. Grishkov Pasha Zusmanovich	3
+	A Lie grading which is not a semigroup grading	2006	Alberto Elduque	3
+	The centroid of extended affine and root graded Lie algebras	2005	Georgia Benkart Erhard Neher	3
+	A family of simple Lie algebras in characteristic two	2003	Giuseppe Jurman	3
+	Algebraic Cohomology and Deformation Theory	1988	Murray Gerstenhaber Samuel D. Schack	3
+	Kähler differentials and coverings of complex simple lie algebras extended over a commutative algebra	1984	Christian Kassel	3
+	More non-semigroup Lie gradings	2009	Alberto Elduque	3
+	Identical Relations in Lie Algebras	1986	Yuri Bahturin	3
+	On δ-derivations of Lie algebras	1998	V. T. Filippov	3
+	SIMPLE MODULAR LIE ALGEBRAS WITH A SOLVABLE MAXIMAL SUBALGEBRA	1976	M I Kuznecov	3
+	Derivations and central extensions of finitely generated graded Lie algebras	1988	Rolf Farnsteiner	3
+	Central extensions of infinite-dimensional Lie algebras	1992	Askar Dzhumadil’daev	3
+	Novikov operad is not Koszul	2009	Askar Dzhumadil’daev	3
+	Cohomology of the algebra of formal universal differential operators	1975	B. Rozenfeld	3
+	CENTRAL EXTENSIONS OF THE ZASSENHAUS ALGEBRA AND THEIR IRREDUCIBLE REPRESENTATIONS	1986	Askar Dzhumadil’daev	3
+ PDF Chat	Homomorphisms on infinite direct product algebras, especially Lie algebras	2011	George M. Bergman Nazih Nahlus	3
+	δ-derivations of prime Lie algebras	1999	V. T. Filippov	3
+	On automorphisms and isomorphisms of quasi-simple lie algebras	2000	Ya S Krylyuk	3
+	LIE ALGEBRAS WITHOUT STRONG DEGENERATION	1987	Alexander Premet	3
+ PDF Chat	Commutative algebras and cohomology	1962	David K. Harrison	3
+	Lie algebras of smooth sections	2008	Hasan Gündoğan	3
+	Infinitesimal deformations of symmetric simple modular Lie algebras and Lie superalgebras	2008	Sofiane Bouarroudj Pavel Grozman Dimitry Leites	3
+ PDF Chat	Algebras with skew-symmetric identity of degree 3	2009	Askar Dzhumadil’daev	3