Gaussian Integrals and Grassmann Algebra

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I am trying to understand gaussian integration on grassmann algebras and therefore I am searching for good references on the subject. My main difficulty is what follows: there are some important properties of gaussian integration. Some of them are mentioned in this wikipedia page https://en.wikipedia.org/wiki/Grassmann_integral#Gaussian_integrals_over_Grassmann_variables



I don't understand these elements K and J. Are they generators of a subalgebra? Are they general elements of the Grassmann Algebra? If they are elements of a subalgebra, what subalgebra is this? Could you help me here?




exterior-algebra gaussian-integral




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    I am trying to understand gaussian integration on grassmann algebras and therefore I am searching for good references on the subject. My main difficulty is what follows: there are some important properties of gaussian integration. Some of them are mentioned in this wikipedia page https://en.wikipedia.org/wiki/Grassmann_integral#Gaussian_integrals_over_Grassmann_variables



    I don't understand these elements K and J. Are they generators of a subalgebra? Are they general elements of the Grassmann Algebra? If they are elements of a subalgebra, what subalgebra is this? Could you help me here?




    exterior-algebra gaussian-integral




    share|cite|improve this question





















      up vote
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      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am trying to understand gaussian integration on grassmann algebras and therefore I am searching for good references on the subject. My main difficulty is what follows: there are some important properties of gaussian integration. Some of them are mentioned in this wikipedia page https://en.wikipedia.org/wiki/Grassmann_integral#Gaussian_integrals_over_Grassmann_variables



      I don't understand these elements K and J. Are they generators of a subalgebra? Are they general elements of the Grassmann Algebra? If they are elements of a subalgebra, what subalgebra is this? Could you help me here?




      exterior-algebra gaussian-integral




      share|cite|improve this question











      I am trying to understand gaussian integration on grassmann algebras and therefore I am searching for good references on the subject. My main difficulty is what follows: there are some important properties of gaussian integration. Some of them are mentioned in this wikipedia page https://en.wikipedia.org/wiki/Grassmann_integral#Gaussian_integrals_over_Grassmann_variables



      I don't understand these elements K and J. Are they generators of a subalgebra? Are they general elements of the Grassmann Algebra? If they are elements of a subalgebra, what subalgebra is this? Could you help me here?





      exterior-algebra gaussian-integral





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