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Results tagged with positivity
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user 142627
10
votes
3
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409
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Positivity of Iwahori–Hecke algebra characters on the Kazhdan-Lusztig basis
Finally, most of the positivity properties in the Hecke algebras can be proven using the categorification with Soergel bimodules. Is there a categorification of the irreducible characters? …
- 617
3
votes
Positivity of Iwahori–Hecke algebra characters on the Kazhdan-Lusztig basis
The second question is easy to answer: I certainly have never seen any reference discussing/calculating how the simple characters of KL basis elements look like - left aside positivity or positive integral …
- 617
3
votes
Positivity of Iwahori–Hecke algebra characters on the Kazhdan-Lusztig basis
I checked using the Chevie package of Gap3. It seems that for all types apart $A_n$, there are negative coefficients in some values of characters on the KL-basis.
The smallest example is type $B_2$. S …
- 617