802 citations · 2.6k across the 100 of their papers we have counts for
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Infinite Braided Tensor Products and 2-D quantum Gravity
S. Majid
Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of…
The Quantum Double as Quantum Mechanics
Shahn Majid
We introduce -structures on braided groups and braided matrices. Using this, we show that the quantum double can be viewed as the quantum algebra of observables o…
A Class of Bicovariant Differential Calculi on Hopf Algebras
Tomasz Brzezinski, Shahn Majid
We introduce a large class of bicovariant differential calculi on any quantum group , associated to -invariant elements. For example, the deformed trace element on …
Quantum and Braided Linear Algebra
Shahn Majid
Quantum matrices are known for every matrix obeying the Quantum Yang-Baxter Equations. It is also known that these act on `vectors' given by the corresponding Zamalodchi…
Braided Matrix Structure of the Sklyanin Algebra and of the Quantum Lorentz Group
Shahn Majid
Braided groups and braided matrices are novel algebraic structures living in braided or quasitensor categories. As such they are a generalization of super-groups and super-matrices…
Quantum group gauge theory on quantum spaces
Tomasz Brzezinski, Shahn Majid
We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential co…