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- W1990440078 abstract "We consider the algebra of square matrices of order N as graded q-differential algebra, where q is a primitive Nth root of unity. We study the differential calculus of this algebra determined by a differential d, which satisfies the graded q-Leibniz rule and dN = 0. A graded q-differential algebra can be viewed as a generalization of graded differential algebra, and we consider the higher degree elements of graded q-differential matrix algebra as analogs of differential forms. We use two matrices x,ξ, which generate the algebra of square matrices of order N in order to express these analogs of differential forms in terms of coordinate x and its differentials dx,d2x,...,dN−1x. We study an analog of connection and calculate its curvature." @default.
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- W1990440078 date "2013-01-01" @default.
- W1990440078 modified "2023-10-12" @default.
- W1990440078 title "Graded q-differential matrix algebra" @default.
- W1990440078 doi "https://doi.org/10.1063/1.4825546" @default.
- W1990440078 hasPublicationYear "2013" @default.
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