matrix subalgebra

matrix subalgebra
мат. матричная подалгебра

Большой англо-русский и русско-английский словарь. 2001.

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  • Cartan subalgebra — In mathematics, a Cartan subalgebra is a nilpotent subalgebra mathfrak{h} of a Lie algebra mathfrak{g} that is self normalising (if [X,Y] in mathfrak{h} for all X in mathfrak{h}, then Y in mathfrak{h}).Cartan subalgebras exist for finite… …   Wikipedia

  • Triangular matrix — In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix where the entries either below or above the main diagonal are zero. Because matrix equations with triangular matrices are easier to solve… …   Wikipedia

  • Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… …   Wikipedia

  • Centrosymmetric matrix — In mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. More precisely, an n × n matrix A = [ Ai,j ] is centrosymmetric when its entries satisfy Ai,j = An−i+1,n−j+1 …   Wikipedia

  • Cartan matrix — In mathematics, the term Cartan matrix has two meanings. Both of these are named after the French mathematician Élie Cartan. In an example of Stigler s law of eponymy, Cartan matrices in the context of Lie algebras were first investigated by… …   Wikipedia

  • Lorentz group — Group theory Group theory …   Wikipedia

  • Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …   Wikipedia

  • E₈ — In mathematics, E8 is the name given to a family of closely related structures. In particular, it is the name of four exceptional simple Lie algebras as well as that of the six associated simple Lie groups. It is also the name given to the… …   Wikipedia

  • Biquaternion — In abstract algebra, the biquaternions are the numbers where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group. As there are three types of complex number, so there are three types of… …   Wikipedia

  • Spin representation — In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are… …   Wikipedia

  • Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia


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