Mimar Sinan Fine Arts University Institutional Repository
DSpace@MSGSÜ digitally stores academic resources such as books, articles, dissertations, bulletins, reports, research data published directly or indirectly by Mimar Sinan Fine Arts University in international standarts, helps track the academic performance of the university, provides long term preservation for resources and makes publications available to Open Access in accordance with their copyright to increase the effect of publications.
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We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types ...
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A noncommutative differential calculus on the h-superplane is presented via a contraction of The q-superplane. An R-matrix which satisfies both ungraded and graded Yang-Baxter equations is obtained and a new deformation ...
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The h-deformation of functions on the Grassmann matrix group Gr(2) is presented via a contraction of Gr(q)(2). As an interesting point, we have seen that, in the case of the h-deformation, both R-matrices of GL(h)(2) and ...
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In this Letter, we introduce the Hopf algebra structure of the quantum quaternionic group GL(1,H-q) and discuss the isomorphism between the quantum symplectic group SP,(1) and the quantum unitary group SUq (2).
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The two parameter quantum deformations of 2X2 Grassmann matrices, Gr(2), and supermatrices, Gr(1\1), are presented. Gr(2) whose matrix elements are all Grassmannian variables is called the superdual of the general linear ...
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We construct a two-parameter covariant differential calculus on the quantum h-exterior plane. We also give a deformation of the two-dimensional fermionic phase space.
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The two-parametric quantum deformation of the algebra of coordinate functions on the supergroup GL(1/1) via a contraction of GL(p,q)(1/1) is presented. Related differential calculus on the quantum superplane is introduced.
