Quasideterminants
I Gelfand, S Gelfand, V Retakh, RL Wilson - Advances in Mathematics, 2005 - Elsevier
Quasideterminants Page 1 http://www.elsevier.com/locate/aim Advances in Mathematics 193
(2005) 56–141 Quasideterminants Israel Gelfand,a Sergei Gelfand,b,√ Vladimir Retakh,a,1 …
(2005) 56–141 Quasideterminants Israel Gelfand,a Sergei Gelfand,b,√ Vladimir Retakh,a,1 …
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
arXiv:q-alg/9701008v2 4 Feb 1997 Page 1 arXiv:q-alg/9701008v2 4 Feb 1997
FACTORIZATION OF DIFFERENTIAL OPERATORS, QUASIDETERMINANTS, AND …
FACTORIZATION OF DIFFERENTIAL OPERATORS, QUASIDETERMINANTS, AND …
[图书][B] Special matrices of mathematical physics: stochastic, circulant, and Bell matrices
R Aldrovandi - 2001 - books.google.com
This book expounds three special kinds of matrices that are of physical interest, centering on
physical examples. Stochastic matrices describe dynamical systems of many different types …
physical examples. Stochastic matrices describe dynamical systems of many different types …
Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables
S Alesker - Bulletin des sciences mathematiques, 2003 - Elsevier
Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables Page
1 Bull. Sci. math. 127 (2003) 1–35 www.elsevier.com/locate/bulsci Non-commutative linear …
1 Bull. Sci. math. 127 (2003) 1–35 www.elsevier.com/locate/bulsci Non-commutative linear …
Quaternionic Monge-Ampere equations
S Alesker - The Journal of Geometric Analysis, 2003 - Springer
The main result of this article is the existence and uniqueness of the solution of the Dirichlet
problem for quaternionic Monge-Ampère equations in quaternionic strictly pseudoconvex …
problem for quaternionic Monge-Ampère equations in quaternionic strictly pseudoconvex …
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
T Bandman, S Garion, B Kunyavskiĭ - Central European Journal of …, 2014 - Springer
We present a survey of results on word equations in simple groups, as well as their
analogues and generalizations, which were obtained over the past decade using various …
analogues and generalizations, which were obtained over the past decade using various …
Wedderburn polynomials over division rings, II
A polynomial f (t) in an Ore extension K [t; S, D] over a division ring K is a Wedderburn
polynomial if f (t) is monic and is the minimal poly-nomial of an algebraic subset of K. These …
polynomial if f (t) is monic and is the minimal poly-nomial of an algebraic subset of K. These …
[PDF][PDF] Quaternionic quasideterminants and determinants
I Gelfand, V Retakh, RL Wilson - arXiv preprint math/0206211, 2002 - arxiv.org
Quasideterminants of noncommutative matrices introduced in [GR, GR1] have proved to be
a powerfull tool in basic problems of noncommutative algebra and geometry (see [GR, GR1 …
a powerfull tool in basic problems of noncommutative algebra and geometry (see [GR, GR1 …
Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
I Gelfand, V Retakh, RL Wilson - Selecta Mathematica, 2001 - Springer
We study certain quadratic and quadratic linear algebras related to factorizations of
noncommutative polynomials and differential polynomials. Such algebras possess a natural …
noncommutative polynomials and differential polynomials. Such algebras possess a natural …
Noncommutative Vieta theorem in Clifford geometric algebras
D Shirokov - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
In this paper, we discuss a generalization of Vieta theorem (Vieta's formulas) to the case of
Clifford geometric algebras. We compare the generalized Vieta formulas with the ordinary …
Clifford geometric algebras. We compare the generalized Vieta formulas with the ordinary …