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  • 1
    Electronic Resource
    Electronic Resource
    Tensor product decompositions and branching rules of the N=2 superconformal algebra (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 1076-1094 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Tensor product decompositions of the N=2 superconformal algebras are examined to determine when they are finite or multiplicity-free, using various combinatorial identities. Using similar techniques, branching rules for the winding subalgebras of the N=2 superconformal algebras are investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530239
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  • 2
    Electronic Resource
    Electronic Resource
    Symmetric Jack polynomials from non-symmetric theory (1999)
    Springer
    Annals of combinatorics 3 (1999), S. 159-170 
    Details
    ISSN: 0219-3094
    Keywords: 33C80 ; Jack polynomials ; symmetric functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show how a number of fundamental properties of the symmetric and anti-symmetric Jack polynomials can be derived from knowledge of the corresponding properties of the nonsymmetric Jack polynomials. These properties include orthogonality relations, normalization formulas, a specialization formula and the evaluation of a proportionality constant relating the anti-symmetric Jack polynomials to a product of differences multiplied by the symmetric Jack polynomials with a shifted parameter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608781
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  • 3
    Electronic Resource
    Electronic Resource
    Hirota polynomials for the KP and BKP hierarchies (1993)
    Springer
    Letters in mathematical physics 29 (1993), S. 55-62 
    Details
    ISSN: 1573-0530
    Keywords: 58F07 ; 05E05 ; 17B67
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Using symmetric function techniques, we derive closed-form expressions for the Hirota polynomials for thepth modified KP and BKP hierarchies in terms of Schur and SchurQ-polynomials, respectively. The Hirota polynomials for the BKP hierarchy can also be expressed as Pfaffians while those for thepth modified KP hierarchies can, under certain conditions, be expressed as determinants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00760859
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    Paper (German National Licenses)
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