Н. Г. Марчук

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All published works

Action	Title	Year	Authors
+ PDF Chat	Sketch of a gauge model of gravity with SU(2) symmetry on a Lorentzian manifold with tetrad	2025	Н. Г. Марчук
+	Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski Space	2021	Н. Г. Марчук
+	One Class of Relativistically Invariant First-Order Equations	2020	Н. Г. Марчук
+	On Some Equations Modeling the Yang–Mills Equations	2020	Н. Г. Марчук D. S. Shirokov
+	Model Dirac and Dirac–Hestenes Equations as Covariantly Equipped Systems of Equations	2020	Н. Г. Марчук
+	A Generalization of the Yang—Mills Equations	2019	Н. Г. Марчук
+ PDF Chat	Classification of Extended Clifford Algebras	2018	Н. Г. Марчук
+ PDF Chat	General Solutions of One Class of Field Equations	2016	Н. Г. Марчук D. S. Shirokov
+ PDF Chat	Constant Solutions of Yang-Mills Equations and Generalized Proca Equations	2016	Н. Г. Марчук D. S. Shirokov
+	Demonstration representation and tensor products of Clifford algebras	2015	Н. Г. Марчук
+	On a field equation generating a new class of particular solutions to the Yang-Mills equations	2014	Н. Г. Марчук
+	New class of gauge invariant solutions of Yang-Mills equations	2014	Н. Г. Марчук D. S. Shirokov
+	Tensor products of Clifford algebras	2013	Н. Г. Марчук
+	A new nonlinear generalization of the Dirac equation	2013	Н. Г. Марчук
+ PDF Chat	Generalized Exterior Algebras	2012	Н. Г. Марчук
+	Generalized exterior algebras	2012	Н. Г. Марчук
+	Local generalization of Pauli's theorem	2012	Н. Г. Марчук D. S. Shirokov
+	Local generalization of Pauli's theorem	2012	Н. Г. Марчук D. S. Shirokov
+	Exterior polymetric algebras	2011	Н. Г. Марчук
+	Field theory equations with spinor gauge symmetry	2011	Н. Г. Марчук
+	Generalized exterior algebras	2011	Н. Г. Марчук
+ PDF Chat	Модельные уравнения Дирака - Янга - Миллса со спинорной калибровочной симметрией	2011	Н. Г. Марчук Н. Г. Марчук
+	Generalized exterior algebras	2011	Н. Г. Марчук
+ PDF Chat	Parametrisations of Elements of Spinor and Orthogonal Groups Using Exterior Exponents	2010	Н. Г. Марчук
+	Representations of spinor groups using Grassmann exterior algebra	2010	Н. Г. Марчук
+	A semipolynomial parameterization of fourth-order spinor groups	2010	Н. Г. Марчук
+	Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry	2010	Н. Г. Марчук
+ PDF Chat	A Symplectic Subgroup of a Pseudounitary Group as a Subset of Clifford Algebra	2009	Н. Г. Марчук Roman Dyabirov
+	A Tensor Dirac Equation in Curved Space	2009	Н. Г. Марчук Luigi Accardi Guillaume Adenier Christopher A. Fuchs Gregg Jaeger Andrei Khrennikov Jan-Åke Larsson Stig Stenholm
+	Model Dirac-Maxwell equations with pseudounitary symmetry	2008	Н. Г. Марчук
+ PDF Chat	Unitary Spaces on Clifford Algebras	2008	Н. Г. Марчук D. S. Shirokov
+ PDF Chat	Модельные уравнения Дирака - Максвелла с псевдоунитарной симметрией	2008	Н. Г. Марчук Н. Г. Марчук
+	New representation of Dirac-Yang-Mills equations	2006	Н. Г. Марчук
+	Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations	2006	Н. Г. Марчук
+	A coordinateless form of the Dirac equation	2003	Н. Г. Марчук
+	Notions of determinant, spectrum, and Hermitian conjugation of Clifford algebra elements	2003	Н. Г. Марчук S. E. Martynova
+	A concept of Dirac-type tensor equations	2002	Н. Г. Марчук
+	Dirac-type tensor equations on a parallelisable manifolds	2002	Н. Г. Марчук
+	Dirac-type tensor equations with non-Abelian gauge symmetries on pseudo-Riemannian space	2002	Н. Г. Марчук
+	The Dirac equation vs. the Dirac type tensor equation	2002	Н. Г. Марчук
+	P.S. to the paper "Dirac type tensor equations with nonabelian gauge symmetries on pseudo-Riemannian space"	2002	Н. Г. Марчук
+	Dirac-type tensor equations on a parallelisable manyfolds	2002	Н. Г. Марчук
+	A model of composite structure of quarks and leptons	2002	Н. Г. Марчук
+	Dirac-type tensor equations with non-Abelian gauge symmetries on pseudo-Riemannian space	2002	Н. Г. Марчук
+	A concept of Dirac-type tensor equations	2002	Н. Г. Марчук
+	Dirac-type tensor equations	2001	Н. Г. Марчук
+	Dirac equation in Riemannian space without tetrads	2000	Н. Г. Марчук
+	The tensor Dirac equation in Riemannian space	2000	Н. Г. Марчук
+	A tensor form of the Dirac equation	2000	Н. Г. Марчук
+	A gauge model with spinor group for a description of local interaction of a fermion with electromagnetic and gravitational fields	1999	Н. Г. Марчук
+	Gauge fields of the matrix Dirac equation	1998	Н. Г. Марчук
+ PDF Chat	Dirac γ-equation, classical gauge fields and Clifford algebra	1998	Н. Г. Марчук
+	A model of the composite structure of quarks and leptons with SU(4) gauge symmetry	1998	Н. Г. Марчук
+	Dirac gamma-equation, classical gauge fields and Clifford algebra	1998	Н. Г. Марчук
+	Gauge fields of the matrix Dirac equation	1998	Н. Г. Марчук
+	The well-posedness of an initial-boundary-value problem for the wave equation with a second-order boundary condition	1987	Н. Г. Марчук
+	Green's formulas and bilinear conservation laws	1986	V. V. Zharinov Н. Г. Марчук
+	Existence of a solution of a mixed problem for a hyperbolic vector equation of second order	1982	Н. Г. Марчук

Common Coauthors

Coauthor	Papers Together
D. S. Shirokov	7
Guillaume Adenier	1
Roman Dyabirov	1
Luigi Accardi	1
Andrei Khrennikov	1
Jan-Åke Larsson	1
S. E. Martynova	1
Christopher A. Fuchs	1
Stig Stenholm	1
Gregg Jaeger	1
V. V. Zharinov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Clifford Algebras and Spinors	1986	Pertti Lounesto	19
+ PDF Chat	Unitary Spaces on Clifford Algebras	2008	Н. Г. Марчук D. S. Shirokov	9
+	Clifford Algebras and Spinors	2001	Pertti Lounesto	9
+	An Introduction to Spinors and Geometry With Applications in Physics	1988	I. M. Benn R.W. Tucker	7
+	Field theory equations	2012	N. A. Marchuk	7
+	Space-Time Algebra	2015	David Hestenes	7
+	A concept of Dirac-type tensor equations	2002	Н. Г. Марчук	7
+ PDF Chat	Dirac γ-equation, classical gauge fields and Clifford algebra	1998	Н. Г. Марчук	5
+	Vector Fields on Manifolds	1970	Michael Atiyah	4
+	Vector Fields on Manifolds	1970	Michael Atiyah	4
+	Dirac-type tensor equations	2001	Н. Г. Марчук	4
+	Lie groups as spin groups	1993	C. J. L. Doran David Hestenes F. Sommen N. Van Acker	4
+	Extension of Pauli’s theorem to Clifford algebras	2011	D. S. Shirokov	3
+	Reduction of the dirac equation and its connection with the Ivanenko-Landau-K�hler equation	1993	Yu. N. Obukhov Sergey N. Solodukhin	3
+	Structure and Representations of Jordan Algebras	1968	Nathan Jacobson	3
+	Dirac equation in Riemannian space without tetrads	2000	Н. Г. Марчук	3
+ PDF Chat	General Solutions of One Class of Field Equations	2016	Н. Г. Марчук D. S. Shirokov	3
+	Model Dirac-Maxwell equations with pseudounitary symmetry	2008	Н. Г. Марчук	3
+ PDF Chat	Clifford algebras and spinors	2012	Daniel Z. Freedman Antoine Van Proeyen	3
+	Technique of tensors with values in the Atiyah-Kähler algebra in the new representation of Dirac-Yang-Mills equations	2006	Н. Г. Марчук	3
+	On a field equation generating a new class of particular solutions to the Yang-Mills equations	2014	Н. Г. Марчук	3
+	A gauge model with spinor group for a description of local interaction of a fermion with electromagnetic and gravitational fields	1999	Н. Г. Марчук	2
+	Theory of Lie Groups	1946	Claude Chevalley	2
+	Symmetrization of a mixed problem for a hyperbolic equation of second order with two spatial variables	1981	V. M. Gordienko	2
+ PDF Chat	Dirac-Kähler Equation (Review)	2002	S. I. Kruglov	2
+	Constant potential solutions of the Yang–Mills equation	1992	Rainer Schimming E. Mundt	2
+	The tensor Dirac equation in Riemannian space	2000	Н. Г. Марчук	2
+ PDF Chat	A Symplectic Subgroup of a Pseudounitary Group as a Subset of Clifford Algebra	2009	Н. Г. Марчук Roman Dyabirov	2
+ PDF Chat	A Classification of Lie Algebras of Pseudo-Unitary Groups in the Techniques of Clifford Algebras	2009	D. S. Shirokov	2
+	La Géométrie des Groupes Classiques	1963	Jean Dieudonné	2
+	A Generalization of the Yang—Mills Equations	2019	Н. Г. Марчук	2
+	Modern Geometric Structures and Fields	2006	S. P. Novikov I. A. Taĭmanov	2
+	On some relations between spinor and orthogonal groups	2011	D. S. Shirokov	2
+	New representation of Dirac-Yang-Mills equations	2006	Н. Г. Марчук	2
+	Applications of Grassmann's Extensive Algebra	1878	Professor Clifford	2
+	THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS	1975	F. G. Friedlander	2
+	Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry	2010	Н. Г. Марчук	2
+	Pseudoparticle solutions of the Yang-Mills equations	1975	A. A. Belavin A. M. Polyakov Arthur S. Schwartz Yu. S. Tyupkin	2
+	The Dirac Type Tensor Equation in Riemannian Space	2001	Nikolai Marchuk	2
+	Clifford Algebras and the Classical Groups	1995	Ian R. Porteous	2
+ PDF Chat	Covariantly Constant Solutions of the Yang–Mills Equations	2018	D. S. Shirokov	2
+ PDF Chat	Theory of Partial Differential Equations	1972	H. M. Lieberstein	2
+	The Dirac-Kähler equation and fermions on the lattice	1982	P. Becher Hans Ludwig Joos	1
+	Local boundary conditions for dissipative symmetric linear differential operators	1960	Peter D. Lax Ralph S. Phillips	1
+	Symmetry and Exact Solutions of the Maxwell and SU(2) Yang–Mills Equations	2003	Renat Zhdanov V. Lahno	1
+	Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism	2013	D. S. Shirokov	1
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	1
+ PDF Chat	DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE	2004	Issaku Kanamori Noboru Kawamoto	1
+	A concept of Dirac-type tensor equations	2002	Н. Г. Марчук	1
+	Dirac-K\"Ahler Equation	2001	S. I. Kruglov	1