Shahn Majid

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20242026

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4 papers · 1 filter

math.QA2025

Quantum jet Hopf algebroids by cotwist

Xiao Han, Shahn Majid

We introduce a cotwist construction for Hopf algebroids that also entails cotwisting or `quantisation' of the base and which is dual to a previous twisting construction of P. Xu. W…

math.QA2024

*-Hopf algebroids

Edwin Beggs, Xiao Han, Shahn Majid

We introduce a theory of $*$ -structures for bialgebroids and Hopf algebroids over a $*$ -algebra, defined in such a way that the relevant category of (co)modules is a bar category.…

math.QA2024

Complex structure on quantum-braided planes

Edwin Beggs, Shahn Majid

We construct a quantum Dolbeault double complex $\oplus_{p, q} I^c ◯^{p, q}$ on the quantum plane $C_{q}^{2}$ . This solves the long-standing problem that the standard differential calcu…

math.QA2024

Quantum geometric Wigner construction for $D (G)$ and braided racks

Shahn Majid, Leo Sean McCormack

The quantum double $D (G) = C (G) ⋊ C G$ of a finite group plays an important role in the Kitaev model for quantum computing, as well as in associated TQFT's, as a kind…

Quantum jet Hopf algebroids by cotwist

*-Hopf algebroids

Complex structure on quantum-braided planes

Quantum geometric Wigner construction for D(G) and braided racks

Quantum geometric Wigner construction for $D (G)$ and braided racks