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  • 1
    Electronic Resource
    Electronic Resource
    Vector-coherent-state theory as a theory of induced representations (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2614-2634 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A general definition is given of vector-coherent state (VCS) representation theory. It is shown that the theory is more general than suggested by previous applications and that it incorporates the standard theories of induced representations as special cases. The associated K-matrix theory is also given a fuller treatment than hitherto and shown to provide a rather general algorithm both for projecting VCS representations from larger representations in which they are embedded and for determining the Hermitian form, with respect to which an isometric-equivalent representation is, in fact, isometric.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529106
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Induced shift tensors in vector coherent state theory (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 2008-2029 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that the so-called shift tensors of Biedenharn and Louck have a natural expression within the framework of vector coherent state (VCS) theory. VCS theory was developed to give a systematic construction of the representations of Lie groups and to derive the corresponding matrices representing the elements of their Lie algebras. In this paper there are explicit realizations of shift tensors within the framework of VCS theory for semisimple Lie groups in terms of shift tensors for suitably defined subgroups. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531099
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  • 3
    Electronic Resource
    Electronic Resource
    The Racah–Wigner algebra and coherent tensors (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 2498-2509 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We present a set of tensors which are shift tensors (Wigner tensors) in accordance with the definitions of Biedenharn and Louck and satisfy the coherence conditions of Flath and Towber. Our tensors are defined for all connected compact Lie groups and for finite-dimensional representations of connected reductive Lie groups. Thus, we have a realization of the coherent tensors in a rather general setting. Moreover, this realization enables us to confirm most of the conjectures of Flath and Towber concerning the properties of coherent tensors. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531523
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Dynamic structure and embedded representation in physics: The group theory of the adiabatic approximation (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 572-577 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The group theoretical concepts of embedded representations and dynamical structure groups, distinct from dynamical symmetry groups, are introduced in order to describe the common physical situation in which collective bands of states of a many-body system are well described by an algebraic collective model even though the states may not span an invariant subspace of the many-body Hilbert space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528049
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  • 5
    Electronic Resource
    Electronic Resource
    Reducibility of some Induced Representations of Split Classical p-Adic Groups (1998)
    Springer
    Compositio mathematica 114 (1998), S. 263-305 
    Details
    ISSN: 1570-5846
    Keywords: supercuspidal representation ; integral ; matrix coefficient.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we study reducibility of representations of split classical p-adic groups induced from self-contragredient supercuspidal represetation associated via Howe's construction to an admissible character, we show that in many cases Shahidi's criterion for reducibility of the induced representation reduces to a simple condition on the admissible character.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1000504704324
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    Paper (German National Licenses)
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