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Lefschetz Property, Schur–Weyl Duality and aq-Deformation of Specht polynomial

Authors :
Toshiaki Maeno
Source :
Communications in Algebra. 35:1307-1321
Publication Year :
2007
Publisher :
Informa UK Limited, 2007.

Abstract

We describe the Schur–Weyl duality for a polynomial representation of the quantum group and the Hecke algebra of type A from a viewpoint of a q-analog of the strong Lefschetz property. A q-deformation of the Specht polynomial appears as a constituent of bases for irreducible components.

Subjects

Subjects :
Algebra
Polynomial
Hecke algebra
Pure mathematics
Algebra and Number Theory
Alternating polynomial
Specht module
Schur–Weyl duality
Duality (optimization)
Mathematics::Representation Theory
Mathematics
Matrix polynomial
Square-free polynomial

Details

ISSN :
15324125 and 00927872
Volume :
35
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........2d1b92a596e99de78b1e05a6f4fc8f5b
Full Text :
https://doi.org/10.1080/00927870601142371
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