On some properties and special identities in the second order matrix algebra over Grassmann algebras

• Autorzy: Rashkova T.
• Języki publikacji: EN

Abstrakty

EN

The paper considers the anticommutative multiplication property for the matrix algebra M2(G) over the infinite Grassmann algebra G. We define as well some classes of ∗-symmetric and ∗ skew-symmetric matrices in (M2(G),∗) for ∗ being the transpose or the symplectic involution. As a consequence we give some ∗-identities for M2(G) of degree < 8. Examples of the application of finite-dimensional Grassmann algebras in quantum field theory are mentioned and some properties of the algebras G4 and M2(G4) are given as well.

Słowa kluczowe

EN

matrix algebra; Grassmann algebras

PL

algebra macierzy; liczby Grassmanna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 29--36
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Rashkova T.

• Department of Algebra and Geometry, University of Ruse ”A. Kanchev”, 7017 Ruse, Bulgaria

Bibliografia

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