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Leading Coefficients of Kazhdan--Lus...
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Gern, Tyson Charles.
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Leading Coefficients of Kazhdan--Lusztig Polynomials in Type D.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Leading Coefficients of Kazhdan--Lusztig Polynomials in Type D./
作者:
Gern, Tyson Charles.
面頁冊數:
95 p.
附註:
Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
Contained By:
Dissertation Abstracts International74-09B(E).
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3561962
ISBN:
9781303093746
Leading Coefficients of Kazhdan--Lusztig Polynomials in Type D.
Gern, Tyson Charles.
Leading Coefficients of Kazhdan--Lusztig Polynomials in Type D.
- 95 p.
Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
Thesis (Ph.D.)--University of Colorado at Boulder, 2013.
Kazhdan--Lusztig polynomials arise in the context of Hecke algebras associated to Coxeter groups. The computation of these polynomials is very difficult for examples of even moderate rank. In type A it is known that the leading coefficient, mu(x, w) of a Kazhdan--Lusztig polynomial Px, w is either 0 or 1 when x is fully commutative and w is arbitrary. In type D Coxeter groups there are certain "bad" elements that make mu-value computation difficult.
ISBN: 9781303093746Subjects--Topical Terms:
515831
Mathematics.
Leading Coefficients of Kazhdan--Lusztig Polynomials in Type D.
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Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
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Adviser: Richard M. Green.
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Thesis (Ph.D.)--University of Colorado at Boulder, 2013.
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Kazhdan--Lusztig polynomials arise in the context of Hecke algebras associated to Coxeter groups. The computation of these polynomials is very difficult for examples of even moderate rank. In type A it is known that the leading coefficient, mu(x, w) of a Kazhdan--Lusztig polynomial Px, w is either 0 or 1 when x is fully commutative and w is arbitrary. In type D Coxeter groups there are certain "bad" elements that make mu-value computation difficult.
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The Robinson--Schensted correspondence between the symmetric group and pairs of standard Young tableaux gives rise to a way to compute cells of Coxeter groups of type A. A lesser known correspondence exists for signed permutations and pairs of so-called domino tableaux, which allows us to compute cells in Coxeter groups of types B and D. I will use this correspondence in type D to compute mu-values involving bad elements. I will conclude by showing that mu(x, w ) is 0 or 1 when x is fully commutative in type D..
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3561962
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