"Induced sign representations and characters of Hecke algebras"의 두 판 사이의 차이

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(피타고라스님이 이 페이지의 이름을 induced sign representations and characters로 바꾸었습니다.)
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* For induced sign characters of Hn(q), we conjecture formulas which specialize at q=1 to formulas for induced sign characters of Sn.
 
* For induced sign characters of Hn(q), we conjecture formulas which specialize at q=1 to formulas for induced sign characters of Sn.
 
* We will discuss evidence in favor of the conjecture, and relations to the chromatic quasi-symmetric functions of Shareshian and Wachs.
 
* We will discuss evidence in favor of the conjecture, and relations to the chromatic quasi-symmetric functions of Shareshian and Wachs.
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Given a partition \lambda=(\lambda_1,\cdots, \lambda_n) of n
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define W_{\lambda}=S_{\lambda_1}\times S_{\lambda_2} \cdots \times S_{\lambda_k}
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For each coset of the form wW_{\lambda},
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define T_{wW_{\lambda}}=\sum_{v\i
  
 
 
 
 

2012년 5월 1일 (화) 07:32 판

introduction

 

  • Many combinatorial formulas for computations in the symmetric group Sn can be modified appropriately to describe computations in the Hecke algebra Hn(q), a deformation of C[Sn].

 

 

induced sign characters
  • Unfortunately, the known formulas for induced sign characters of Sn are not among these.
  • For induced sign characters of Hn(q), we conjecture formulas which specialize at q=1 to formulas for induced sign characters of Sn.
  • We will discuss evidence in favor of the conjecture, and relations to the chromatic quasi-symmetric functions of Shareshian and Wachs.

 

 

Given a partition \lambda=(\lambda_1,\cdots, \lambda_n) of n

define W_{\lambda}=S_{\lambda_1}\times S_{\lambda_2} \cdots \times S_{\lambda_k}

For each coset of the form wW_{\lambda},

define T_{wW_{\lambda}}=\sum_{v\i

 

 

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