Kuok Fai Chao

activity

20052026

most citedDual R-groups of the inner forms of SL(N)

20 citations · 20 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2026

Centralizer Excess as an Obstruction to Carlson's Depth Conjecture

Xinan Dai, Kuok Fai Chao

Let $G = SmallGroup (128, 859)$ and $k = k$ . The cohomology ring $H^{*} (G; k)$ has depth two, and we prove that the minimum quotient dimension of an associated pri…

math.KT2026

L-packet multiplicity and integral structure in the K-theory of real inner forms

Xinan Dai, Kuok Fai Chao

Let $G$ be a connected linear real semisimple group with finite centre and discrete series, and let $G_{c}$ be a fixed compact inner form. We isolate an integral structure behind the…

math.RT2012★ 20 cited

Dual R-groups of the inner forms of SL(N)

Kuok Fai Chao, Wen-Wei Li

We study the Knapp-Stein R-groups of the inner forms of SL(N) over a non-archimedean local field of characteristic zero, by using restriction from the inner forms of GL(N). As conj…

math.NT2005

A new bound for the smallest $x$ with $π (x) > l i (x)$

Kuok Fai Chao, Roger Plymen

We reduce the leading term in Lehman's theorem. This improved estimate allows us to refine the main theorem of Bays and Hudson. Entering $2, 000, 000$ Riemann zeros, we prove that th…

Centralizer Excess as an Obstruction to Carlson's Depth Conjecture

L-packet multiplicity and integral structure in the K-theory of real inner forms

Dual R-groups of the inner forms of SL(N)

A new bound for the smallest x with π(x)>li(x)

A new bound for the smallest $x$ with $π (x) > l i (x)$