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Kazhdan-Lusztig polynomials and canonical basis

✍ Scribed by I. B. Frenkel; M. G. Khovanov; A. A. Kirillov

Publisher
SP Birkhäuser Verlag Boston
Year
1998
Tongue
English
Weight
710 KB
Volume
3
Category
Article
ISSN
1083-4362

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📜 SIMILAR VOLUMES

Upper and Lower Bounds for Kazhdan–Luszt
Upper and Lower Bounds for Kazhdan–Lusztig Polynomials
✍ F. Brenti 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 221 KB

We give upper and lower bounds for the Kazhdan-Lusztig polynomials of any Coxeter group W . If W is finite we prove that, for any k ≥ 0, the kth coefficient of the Kazhdan-Lusztig polynomial of two elements u, v of W is bounded from above by a polynomial (which depends only on k) in l(v)l(u). In par

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✍ Francesco Brenti 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 143 KB

Stanley introduced the concept of a P -kernel for any locally finite partially ordered set P . In [Proc. Sympos. Pure Math.,

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,