"Induced sign representations and characters of Hecke algebras"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=55223&date=2012-04-30 | + | * http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=55223&date=2012-04-30 |
| − | 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]. | + | * 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]. |
| 11번째 줄: | 11번째 줄: | ||
| − | <h5>induced sign characters< | + | <h5>induced sign characters</h5> |
| + | |||
| + | * 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. | ||
2012년 5월 1일 (화) 07:23 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.
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