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Abstract

There is a singular appropriateness in discussing the algebra of L-matrices in this symposium in which Professor R. H. Good is one of principal participants. For it was a seminar conducted almost twelve years ago, in Madras, on an interesting paper of Professor Good on the gamma matrices which started an investigation that culminated in the present theory of L-matrices which include the gamma matrices within their structure.

“The end of method is perspicuity”

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References

  1. A. Ramakrishnan, “The Dirac Hamiltonian as a member of a hierarchy of matrices,” J. Math. Anal. Appl. 20: 9–16 (1967).

    Article  MathSciNet  Google Scholar 

  2. A. Ramakrishnan, “Helicity and energy as members of a hierachy of eigenvalues,” J. Math. Anal. Appl. 20: 397–401 (1967).

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  3. A. Ramakrishnan, “Symmetry operations on a hierarchy of matrices,” J. Math. Anal. Appl. 21: 39–42 (1968).

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  4. A. Ramakrishnan and I. V. V. Raghavacharyulu, “A note on the representations of Dirac groups,” in: Symposia on Theoretical Physics and Mathematics, Vol. 8, Plenum Publishing Corp, New York, 1968, pp. 25–32.

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  5. A. Ramakrishnan, “On the relationship between the L-matrix hierarchy and Cartan spinnors,” J. Math. Anal. Appl. 1967 (in press).

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  6. A. Ramakrishnan, R. Vasudevan, N. R. Ranganathan and P. S. Chandrasekaran, “A generalisation of the L-matrix hierarchy,” J. Math. Anal. Appl. (in press).

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  7. A. Ramakrishnan, “L-matrices, quaternions and propagators,” J. Math. Anal. Appl, (in press).

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  8. A. Ramakrishnan, “New perspectives on the Dirac Hamiltonian and the Feynman propagator,” Proceedings of the Colorado Summer School, 1967 (in press).

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  9. A. Ramakrishnan, “A New form for the Feynman propagator,” J. Math. Phys. Sciences, Vol. I, June 1967, Nos. 1 and 2 p. 57.

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  10. A. Ramakrishnan, “L-Matrix hierarchy and the higher dimensional Dirac Hamiltonian,” I. I. T. Journal of Mathematical and Physical Sciences, Madras (in press)

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  11. A. Ramakrishnan, “A Hierarchy of helicity operators in L-matrix theory,” I. I. T. J. Math. Phys. Sciences, Madras (in press)

    Google Scholar 

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Alladi Ramakrishnan (Director of the Institute)

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© 1969 Plenum Press

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Ramakrishnan, A. (1969). On the Algebra of L-Matrices. In: Ramakrishnan, A. (eds) Symposia on Theoretical Physics and Mathematics 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7673-6_8

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  • DOI: https://doi.org/10.1007/978-1-4684-7673-6_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7675-0

  • Online ISBN: 978-1-4684-7673-6

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