dc.creatorDesrosiers, P.
dc.creatorLapointe, L.
dc.creatorMathieu, P.
dc.date2008-03-04T22:13:38Z
dc.date2008-03-04T22:13:38Z
dc.date2006
dc.date.accessioned2017-03-07T14:45:13Z
dc.date.available2017-03-07T14:45:13Z
dc.identifierJournal of Algebraic Combinatorics 24 (2): 209-238
dc.identifier0925-9899
dc.identifierhttp://dspace.utalca.cl/handle/1950/4569
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/372246
dc.descriptionLapointe, L. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.
dc.descriptionWe present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, called symmetric functions in superspace, are invariant under the diagonal action of the symmetric group on the sets of commuting and anticommuting variables. In this work, we present the superspace extension of the classical bases, namely, the monomial symmetric functions, the elementary symmetric functions, the completely symmetric functions, and the power sums. Various basic results, such as the generating functions for the multiplicative bases, Cauchy formulas, involution operations as well as the combinatorial scalar product are also generalized.
dc.format2974 bytes
dc.formattext/html
dc.languageen
dc.publisherSpringer Netherlands
dc.subjectSymmetric function; Superspace
dc.titleClassical symmetric functions in superspace
dc.typeArtículos de revistas


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