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    Article

    Hamilton's Turns for the Lorentz Group

    Hamilton in the course of his studies on quaternions came up with an elegant geometric picture for the group SU(2). In this picture the group elements are represented by “turns,” which are equivalence classes of ...

    R Simon, S Chaturvedi, V Srinivasan… in International Journal of Theoretical Physi… (2006)

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    Chapter

    Canonical Forms of Positive Definite Matrices under Congruence: Extensions of the Schweinler-Wigner Extremum Principle

    It is well known that a N-dimensional real symmetric [complex hermitian] matrix V is congruent to a diagonal matrix modulo an orthogonal [unitary] matrix[1]. That is, V = S✝DS where D is diagonal and S ∈ SO(N) [S

    S. Chaturvedi, V. Srinivasan, R. Simon in Frontiers of Fundamental Physics 4 (2001)

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    Chapter

    The Two-Dimensional Symplectic and Metaplectic Groups and Their Universal Cover

    We give a detailed discussion of the group Sp(2, R), organized in such a way as to lead to explicit constructive descriptions of the metaplectic group Mp(2) and the universal covering group

    R. Simon, N. Mukunda in Symmetries in Science VI (1993)