2 citations · 3 across the 5 of their papers we have counts for
6 papers
The dual of the Tits cone and dominance of Coxeter groups
Xiang Fu, Jiaqing Gu, Mengfan Lyu +3
In this paper we introduce a potentially infinite process of reflections applied to a sequence of points in the dual of the Tits cone associated with an arbitrary finitely generate…
Permutation closure for multiple context-free languages
Andrew Duncan, Murray Elder, Lisa Frenkel +1
We prove that the \emph{permutation closure} of a multiple context-free language is multiple context-free, which extends work of Okhotin and Sorokin [LATA 2020] who showed closure…
A substitution lemma for multiple context-free languages
Andrew Duncan, Murray Elder, Lisa Frenkel +1
We present a necessary condition for an infinite language to be multiple context-free, which we call a Substitution Lemma. We apply it to show a sample selection of languages are n…
Secure and Private Vickrey Auction Protocols: A Secure Multiparty Computation Approach
Lucy Klinger, Mengfan Lyu, Lei Zhang
Recent attention on secure multiparty computation and blockchain technology has garnered new interest in developing auction protocols in a decentralized setting. In this paper, we…
Generalised Temperley-Lieb algebras of type
Gus Lehrer, Mengfan Lyu
In an earlier work, we defined a ``generalised Temperley-Lieb algebra'' corresponding to the imprimitive reflection group as a quotient of the cyclotomic He…
Generalised Temperley-Lieb algebras of type
Gus Lehrer, Mengfan Lyu
In this paper, we define a quotient of the cyclotomic Hecke algebra of type as a generalisation of the Temperley-Lieb algebras of type and . We establish a graded…