activity
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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17 papers

math-ph2026

Conformal Barycenters in Quaternionic Hyperbolic Balls

Wensheng Cao, Zhijian Ge

We extend the notion of conformal barycenter, recently introduced by Jačimović and Kalaj for the complex hyperbolic ball, to the quaternionic unit ball $\BH$. The quaternionic conf…

math.RA2022

On left spectrum of a split quaternionic matrix

Wensheng Cao

In noncommutative and nondivision algebra, left spectrum of matrices are less known and is not easy to handle. Split quaternion algebra is a noncommutative and nondivision algebra.…

math.RA2022

The Moore-Penrose Inverses of Clifford Algebra

Rong lan Zheng, Wen sheng Cao, Hui hui Cao

In this paper, we introduce a ring isomorphism between the Clifford algebra and a ring of matrices, and represent the elements in by real matrices. By such a ri…

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.RA2022

The Moore-Penrose Inverses of Clifford Algebra

Wensheng Cao, Ronglan Zheng, Huihui Cao

In this paper, we introduce a ring isomorphism between the Clifford algebra and a ring of matrices. By such a ring isomorphism, we introduce the concept of the Moore-…

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.