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A type of quantum generalized projective representation

Author: WangShenYou
Tutor: HuNaiHong
School: East China Normal University
Course: Basic mathematics
Keywords: Quantum enveloping algebra Quantum differential operator Generalized projective representation of quantum Irreducibility
CLC: O152.5
Type: Master's thesis
Year: 2011
Downloads: 3
Quote: 0
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Abstract


This first Uq (sln 1) is implemented as defined in the Aq (n) on Wq (2n) of some of the quantum differential operator followed constructed Uq (sln 1) the tensor space Aq (n) (?) V on the one that called Uq (sln 1) quantum generalized projective representation , where V is an arbitrary finite-dimensional irreducible Uq (gln) mode . Finally we have n = 2, q is not a special case of a unit root next , given the irreducible representation a necessary and sufficient condition . particular , we get Uq (sl3) is a new class of infinite-dimensional irreducible module , which under normal circumstances is not necessarily the highest weight module .1

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Lie group
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