This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in
the broader context of the unequal parameter case. Serving as a useful reference the present
volume offers a synthesis of significant advances made since Lusztig's seminal work on the
subject was published in 2002. The focus lies on the combinatorics of the partition into cells
for general Coxeter groups with special attention given to induction methods cellular maps
and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods the
author carefully develops proofs discusses open conjectures and presents recent research
including a chapter on the action of the cactus group. Kazhdan-Lusztig Cells with Unequal
Parameters will appeal to graduate students and researchers interested in related subject areas
such as Lie theory representation theory and combinatorics of Coxeter groups. Useful examples
and various exercises make this book suitable for self-study and use alongside lecture
courses.Information for readers: The character {mathbb{Z}} has been corrupted in the print
edition of this book and appears incorrectly with a diagonal line running through the symbol.
