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The Generalized Branching Rule of the Restricted Irreducible Representations for the Witt Superalgebra

Author: XinKeYing
Tutor: ShuBin
School: East China Normal University
Course: Basic mathematics
Keywords: Witt type Lie algebra Generalized Branching Rule Kac model Filtration Exact sequence
CLC: O152.5
Type: Master's thesis
Year: 2011
Downloads: 10
Quote: 0
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Abstract


This paper mainly discusses Witt type Lie algebra irreducible generalized Branching Rule limiting mold problem would W (n-1) be seen as a model of W (n) restrictions algebra then W (n) model can be viewed as a W ( n-1) mold paper obtained the following main results : ( a ) proves that restriction (n) - module category of any Kac model , as W (n-1) - Kac mold mold has a filter chain , ie there submodule chain so that each child is isomorphic to a quotient module W (n-1) of the Kac model . ( 2 ) to consider limiting the W (n) - module category , limiting W (n-1) - module category of Grothendieck group , W (n) to W (n-1) Generalized Branching Rule been fully determined.

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