802 citations · 2.6k across the 100 of their papers we have counts for
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Duality Principle and Braided Geometry
Shahn Majid
We give an overview of a new kind symmetry in physics which exists between observables and states and which is made possible by the language of Hopf algebras and quantum geometry.…
Some Remarks on the Quantum Double
Shahn Majid
We recall the abstract theory of Hopf algebra bicrossproducts and double cross products due to the author. We use it to develop some less-well known results about the quantum doubl…
Anyonic FRT construction
Shahn Majid, M. J. Rodriguez-Plaza
The Faddeev-Reshetikhin-Takhtajan method to construct matrix bialgebras from non-singular solutions of the quantum Yang-Baxter equation is extended to the anyonic or -graded…
Bicrossproduct structure of -Poincare group and non-commutative geometry
Shahn Majid, Henri Ruegg
We show that the -deformed Poincaré quantum algebra proposed for elementary particle physics has the structure of a Hopf agebra bicrossproduct $U(so(1,3))\cobicross T$. The alge…
Algebraic {}-Integration and Fourier Theory on Quantum and Braided Spaces
A. Kempf, Shahn Majid
We introduce an algebraic theory of integration on quantum planes and other braided spaces. In the one dimensional case we obtain a novel picture of the Jackson -integral as ind…
q-Euclidean space and quantum group wick rotation by twisting
Shahn Majid
We study the quantum matrix algebra and for the standard case propose it for the co-ordinates of -deformed Euclidean space. The algebra in th…