Supermatrix
Matrix (Mathematics), Block Matrix, Supercommutative Algebra, Exterior Algebra, Linear Algebra
Herausgegeben: Quincy, Ferdinand M.
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and theoretical physics, a supermatrix is a Z2-graded analog of an ordinary matrix. Specifically, a supermatrix is a 2×2 block matrix with entries in a superalgebra (or superring). The most important examples are those with entries in a commutative superalgebra (such as a Grassmann algebra) or an ordinary field (thought of as a purely even commutative superalgebra).Supermatrices arise in the study of super linear algebra where they appear as the coordi...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics and theoretical physics, a supermatrix is a Z2-graded analog of an ordinary matrix. Specifically, a supermatrix is a 2×2 block matrix with entries in a superalgebra (or superring). The most important examples are those with entries in a commutative superalgebra (such as a Grassmann algebra) or an ordinary field (thought of as a purely even commutative superalgebra).Supermatrices arise in the study of super linear algebra where they appear as the coordinate representations of a linear transformations between finite-dimensional super vector spaces or free supermodules. They have important applications in the field of supersymmetry.
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