1,721,046 research outputs found
Convex orderings in affine root systems II
No full textAbstractThis paper contains several results concerning convex orderings in root systems. These results complete the analysis developed in earlier papers by the author. We obtain, in the finite case, a combinatorial characterization of reflections, longest elements in standard parabolic subgroups of the Weyl group of the root system, and of Coxeter elements. In the affine case, a refinement of the main construction done earlier by the author (J. Algebra172, 1995, 613–623) is described; moreover, infinite periodic compatible sets are classified
Inversion tables and minimal left coset representatives for Weyl groups of classical type
No full textUsing the interplay between the geometric and the permutation representation, we obtain explicit descriptions of the inversions, inversion tables and minimal left coset representatives for elements of finite and affine Weyl groups of classical type. (C) 2001 Elsevier Science B.V. All rights reserved
A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups
No full textAdvances in Lie Superalgebras
No full textThe volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, Rome, in 2012. The conference gathered virtually all the main specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book includes both extended abstracts of the conference papers and new original works related to the theme of the conference
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