Induced sign representations and characters of Hecke algebras
http://bomber0.myid.net/ (토론)님의 2012년 5월 1일 (화) 07:27 판 (피타고라스님이 이 페이지의 이름을 induced sign representations and characters로 바꾸었습니다.)
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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