44 citations · 78 across the 13 of their papers we have counts for
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The Cremmer-Gervais solution of the Yang-Baxter equation
Timothy J. Hodges
A direct proof is given of the fact that the Cremmer-Gervais R-matrices satisfy the Yang-Baxter equation.
Nonstandard solutions of the Yang-Baxter equation
Anthony Giaquinto, Timothy J. Hodges
Explicit solutions of the quantum Yang-Baxter equation are given corresponding to the non-unitary solutions of the classical Yang-Baxter equation for sl(5).
Nonstandard quantum groups associated to Belavin-Drinfeld triples
Timothy J. Hodges
A construction is given of a family of non-standard quantizations of the algebra of functions on a connected complex semi-simple algebraic group. For each ``disjoint'' triple in th…
Algebraic structure of multi-parameter quantum groups
Timothy J. Hodges, Thierry Levasseur, Margarita Toro
Multi-parameter versions U_p(g) and C_p[G] of the standard quantum groups U_q(g) and C_q[G] are considered where G is a semi-simple connected complex algebraic group and g is the L…
Double quantum groups and Iwasawa decomposition
Timothy J. Hodges
The double quantum groups are the Hopf algebras underlying the complex quantum groups of which the simplest example is the quantum Lorentz group. They are non- standard quantizatio…
On the Cremmer-Gervais quantizations of SL(n)
Timothy J. Hodges
Non-standard quantum groups and are constructed for a two parameter version of the Cremmer-Gervais -matrix. An epimorphism is constructed from $C_R […