Induced sign representations and characters of Hecke algebras

수학노트
http://bomber0.myid.net/ (토론)님의 2012년 5월 1일 (화) 07:23 판
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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.

 

 

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