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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).

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  • Supermatrice (it)
  • 초행렬 (ko)
  • Supermatrix (en)
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  • In matematica e in fisica teorica, una supermatrice è analoga ad una Z2-graded di una ordinaria matrice. In particolare una supermatrice è una matrice a blocchi 2×2 i cui elementi sono relativi ad una superalgebra. Gli esempi più importanti sono quelli relativi ad un'algebra esterna su di un ordinario campo. Le supermatrici hanno importanti applicazioni nel campo della supersimmetria. (it)
  • 수학과 이론물리학에서 초행렬(超行列, 영어: supermatrix)은 초벡터 공간 사이의 사상을 나타내는 행렬이다. (ko)
  • 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). (en)
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  • 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. (en)
  • In matematica e in fisica teorica, una supermatrice è analoga ad una Z2-graded di una ordinaria matrice. In particolare una supermatrice è una matrice a blocchi 2×2 i cui elementi sono relativi ad una superalgebra. Gli esempi più importanti sono quelli relativi ad un'algebra esterna su di un ordinario campo. Le supermatrici hanno importanti applicazioni nel campo della supersimmetria. (it)
  • 수학과 이론물리학에서 초행렬(超行列, 영어: supermatrix)은 초벡터 공간 사이의 사상을 나타내는 행렬이다. (ko)
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