On deformations product

نویسندگان
چکیده

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t)-deformations of multivariate hook product formulae

We generalize multivariate hook product formulae for P -partitions. We use Macdonald symmetric functions to prove a (q, t)-deformation of Gansner’s hook product formula for the generating functions of reverse (shifted) plane partitions. For a d-complete poset, we present a conjectural (q, t)-deformation of Peterson–Proctor’s hook product formula.

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(q, t)-Deformations of multivariate hook product formulae

We generalize multivariate hook product formulae for P -partitions. We use Macdonald symmetric functions to prove a (q, t)-deformation of Gansner’s hook product formula for the generating functions of reverse (shifted) plane partitions. (The unshifted case has also been proved by Adachi.) For a d-complete poset, we present a conjectural (q, t)-deformation of Peterson–Proctor’s hook product form...

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Let H be a Hopf algebra and let B be a Koszul H-module algebra. We provide necessary and sufficient conditions for a filtered algebra to be a Poincaré-Birkhoff-Witt (PBW) deformation of the smash product algebra B#H. Many examples of these deformations are given.

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For a conformal theory it is natural to seek the conformal moduli space, Mc to which it belongs, generated by the exactly marginal deformations. By now we should have the tools to determine Mc in the presence of enough supersymmetry. Here it is shown that its dimension is determined in terms of a certain index. Moreover, the D-term of the global group is an obstruction for deformation, in prese...

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ژورنال

عنوان ژورنال: Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics

سال: 1997

ISSN: 1303-5991

DOI: 10.1501/commua1_0000000432