RSK bases in Invariant Theory and Representation Theory

By: Preena, Samuel [author]Material type: TextTextPublication details: 2010Description: 75pSubject(s): Mathematics | HBNI Th 26 | Invariant Theory | Representation TheoryOnline resources: Click here to access online Dissertation note: 2010Ph.DHBNI Abstract: From the combinatorial characterizations of right, left, and two sided Kazhdan-Lusztig cells of the symmetric groups, RSK bases are constructed for certain quotients by two sided ideals of the group ring and the Hecke Algebra. Applications to Invariant Theory, over various base rings, of the general linear group, and representation theory both ordinary and modular, of the symmetric group are discussed in this Thesis.
Item type: THESIS & DISSERTATION
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HBNI TH 26 (Browse shelf (Opens below)) Link to resource Available 64542

2010

Ph.D

HBNI

From the combinatorial characterizations of right, left, and two sided Kazhdan-Lusztig cells of the symmetric groups, RSK bases are constructed for certain quotients by two sided ideals of the group ring and the Hecke Algebra. Applications to Invariant Theory, over various base rings, of the general linear group, and representation theory both ordinary and modular, of the symmetric group are discussed in this Thesis.

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The Institute of Mathematical Sciences, Chennai, India

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