PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras

DOI10.1112/S1461157012001064zbMath1296.20009arXiv1201.5566MaRDI QIDQ5169637

Meinolf Geck

Publication date: 11 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5566

zbMATH Keywords

algorithmsHecke algebrasfinite Coxeter groupsKazhdan-Lusztig polynomialsKazhdan-Lusztig cellscomputer algebra packages

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Conjugacy classes of involutions and Kazhdan–Lusztig cells, The low-dimensional homology of finite-rank Coxeter groups, Finding characters satisfying a maximal condition for their unipotent support., ON CANONICAL BASES AND INDUCTION OF -GRAPHS, On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group, Multiplicity-free primitive ideals associated with rigid nilpotent orbits, Vogan classes in type \(B_n\), Odd length in Weyl groups, \(W\)-graph ideals and duality, On the Kazhdan–Lusztig cells in type $E_8$, The development version of the \texttt{CHEVIE} package of \texttt{GAP3}., \(W\)-graphs for Hecke algebras with unequal parameters.

Uses Software

• GAP
• CHEVIE
• PyCox

Cites Work

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