Berezinian

Berezinian
ктп березиниан

English-russian dictionary of physics. 2013.

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  • Berezinian — In mathematics and theoretical physics, the Berezinian or superdeterminant is a generalization of the determinant to the case of supermatrices. The name is for Felix Berezin. The Berezinian plays a role analogous to the determinant when… …   Wikipedia

  • Supermatrix — In mathematics and theoretical physics, a supermatrix is a Z2 graded analog of an ordinary matrix. Specifically, a supermatrix is a 2 times;2 block matrix with entries in a superalgebra (or superring). The most important examples are those with… …   Wikipedia

  • Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …   Wikipedia

  • Berezin integral — In mathematical physics, a Berezin integral is a way to define integration for functions of Grassmann variables. It is not an integral in the Lebesgue sense; it is called integration for some analogue properties and since it is used in physics in …   Wikipedia

  • Supermanifold — In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry. Several definitions are in use, some of which are described below. Physics In physics, a supermanifold is a manifold… …   Wikipedia

  • Supertrace — In the theory of superalgebras, if A is a commutative superalgebra, V is a free right A supermodule and T is an endomorphism from V to itself, then the supertrace of T , str( T ) is defined by the following tangle diagram::More concretely, if we… …   Wikipedia

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Felix Berezin — Felix Alexandrovich Berezin ( ru. Феликс Александрович Березин) (25 April 1931 ndash; July 14 1980) was a Soviet Russian mathematician and physicist known for his contributions to the theory of supersymmetry and supermanifolds as well as to the… …   Wikipedia


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