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3 papers
Z_2 Graded Lie Algebra of Quaternions and Superconformal Algebra in D=4 dimensions
Bhupendra C. S. Chauhan, Pawan Kumar Joshi, B. C. Chanyal
In the present discussion, we have studied the Z2-grading of quaternion algebra (H). We have made an attempt to extend the quaternion Lie algebra to the graded Lie algebra by using…
Quaternion Generalization of Super Poincare Group
Bhupendra C. S. Chauhan, O. P. S. Negi
Super Poincare algebra in D = 6 space-time dimensions has been analysed in terms of quaternion analyticity of Lorentz group. Starting the connection of quaternion Lorentz group wit…
Octonionic Reformulation of Vector Analysis
Bhupendra C. S. Chauhan, P. S. Bisht, O. P. S. Negi
According to celebrated Hurwitz theorem, there exists four division algebras consisting of R (real numbers), C (complex numbers), H (quaternions) and O (octonions). Keeping in view…