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20092026
most citedCongruence classes of points in quaternionic hyperbolic spaces

6 citations · 20 across the 17 of their papers we have counts for

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math.AG2022

Quadratic unilateral polynomials over split quaternions

Wensheng Cao

In this paper, we derive explicit formulas for computing the roots of with being not invertible in split quaternion algebra. We also imitate the approach develo…

math.AG2022

The Euler's formula and root formula of Clifford Algebra Cl2

Wensheng Cao, Huihui Cao, Ronglan Zheng

In this paper, we express Euler's formula and De Moivre's formula for Clifford algebra Cl2 and find nth roots of an element in Clifford algebra Cl2.

math.AG2017★ 4 cited

The moduli space of points in quaternionic projective space

Wensheng Cao

Let $\mathcal{M}(n,m;\F \bp^n)$ be the configuration space of -tuples of pairwise distinct points in $\F \bp^n$, that is, the quotient of the set of -tuples of pairwise disti…

math.AG2015★ 6 cited

Congruence classes of points in quaternionic hyperbolic spaces

Wensheng Cao

An important problem in quaternionic hyperbolic geometry is to classify ordered -tuples of pairwise distinct points in the closure of quaternionic hyperbolic n-space, $\overline…

math.AG2010

Discreteness criterion in SL(2,$\bc$) by a test map

Wensheng Cao

In the paper (Osaka J. Math. {\bf 46}: 403-409, 2009), Yang conjectured that a non-elementary subgroup of $SL(2, \bc)$ containing elliptic elements is discrete if for each elli…

math.AG2009★ 3 cited

Jorgensen's inequality for quternionic hyperbolic space with elliptic elements

Wensheng Cao, Haiou Tan

In this paper, we give an analogue of Jorgensen's inequality for non-elementary groups of isometries of quaternionic hyperbolic space generated by two elements, one of which is ell…