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Explicit Formulae for Some Kazhdan-Lusztig Polynomials

✍ Scribed by Francesco Brenti; Rodica Simion

Book ID
110267059
Publisher
Springer
Year
2000
Tongue
English
Weight
66 KB
Volume
11
Category
Article
ISSN
0925-9899

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Explicit Formulae for Some Kazhdan–Luszt
Explicit Formulae for Some Kazhdan–Lusztig R-Polynomials
✍ Michela Pagliacci 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

We consider the Kazhdan Lusztig R-polynomials, R u, v (q) indexed by permutations ``u, v'' having particular forms. More precisely, we show that R e, 34 } } } n12 (q) (where ``e'' denotes the identity permutation) equals, aside from a simple change of variable, a q-analogue of the Fibonacci number,