Representation Theory of SP(4) and SO(5)

DOI10.1063/1.1665018zbMath0214.28901OpenAlexW2091551347MaRDI QIDQ5616912

Wayne J. III Holman

Publication date: 1969

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1665018

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Representation Theory of SO(4, 1) and E(3, 1): An Explicit Spinor Calculus, The most degenerate representation matrix elements of finite rotations of SO(n−2, 2), Matrix Elements for the Most Degenerate Continuous Principal Series of Representations of SO(p, 1), The Boson Calculus for the Orthogonal and Symplectic Groups, The representation theory of SU(4) and Sp(4), On the Wigner coefficients of Sp(4) and SO(5), On the Weyl coefficients of SO(n), Modelling and analysis of an open-loop induction motor drive incorporating the effect of inverter dead-time, A unified treatment of the representation functions of SO(n,1), SO(n+1), and ISO(n), A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1, The representation matrix elements of the group O+(2,2), The group chain S On,1⊃S O1,1⊗S On−1, a complete solution to the ``missing label problem

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