Around Solomon’s Descent Algebras

Keywords

Descent (aeronautics), Mathematics, Algebra over a field, Pure mathematics, Combinatorics

References

• A Decomposition of the Descent Algebra of a Finite Coxeter GroupFrançois Bergeron, Nantel Bergeron, Robert B. Howlett — 1992
• Characters of Finite Coxeter Groups and Iwahori-Hecke AlgebrasMeinolf Geck, Golz Pfeiffer — 2000
• Generalized descent algebra and construction of irreducible characters of hyperoctahedral groupsCédric Bonnafé, Christophe Hohlweg — 2004
• Coxeter orbits and eigenspaces of FrobeniusG. Lusztig — 1976
• Homomorphisms between Solomon's descent algebrasFrançois Bergeron, Adriano M. Garsia, Christophe Reutenauer — 1992
• A generalization of solomon’s algebra for hyperoctahedral groups and other wreath productsRoberto Mantaci, C. Reutenauerf — 1995
• CHEVIE — A system for computing and processing generic character tablesMeinolf Geck, Gerhard Hiß, Frank L�beck — 1996
• A symmetry of the descent algebra of a finite Coxeter groupDieter Blessenohl, Christophe Hohlweg, Manfred Schocker — 2005
• Solomon's Descent Algebra RevisitedM. D. Atkinson — 1992
• Representation Theory of Mantaci–Reutenauer AlgebrasCédric Bonnafé — 2006
• A Mackey formula in the group ring of a Coxeter groupLouis Solomon — 1976
• CHARACTERS OF FINITE COXETER GROUPS AND IWAHORI–HECKE ALGEBRAS (London Mathematical Society Monographs: New Series 21) By MEINOLF GECK and GÖTZ PFEIFFER: 446 pp., £65.00 (LMS members' price £45.50), ISBN 0-19-850250-8 (Clarendon Press, Oxford, 2000).R. M. Green — 2001

Cited by

• The Steinberg torus of a Weyl group as a module over the Coxeter complexMarcelo Aguiar, T. Kyle Petersen — 2014
• Quiver Presentations for Descent Algebras of Exceptional TypePfeiffer, Goetz — 2008
• Semidirect Product Decomposition of Coxeter GroupsCédric Bonnafé, Matthew Dyer — 2008
• The Loewy Length of the Descent Algebra of Type DFranco Saliola — 2007
• On the quiver of the descent algebraFranco Saliola — 2007
• On the quiver presentation of the descent algebra of the symmetric groupMarcus Bishop, Götz Pfeiffer — 2012
• Cyclotomic Solomon AlgebrasAndrew Mathas, Rosa Orellana — 2008
• Representation Theory of Mantaci–Reutenauer AlgebrasCédric Bonnafé — 2006
• A QUIVER PRESENTATION FOR SOLOMON'S DESCENT ALGEBRA.Götz Pfeiffer — 2007
• A New Descent Algebra for Weyl Groups of Type AnTülay Yağmur, Himmet Can — 2014
• Markov Chains from Descent Operators on Combinatorial Hopf AlgebrasC. Y. Amy Pang — 2016
• On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical TypeLinus Hellebrandt, Götz Pfeiffer — 2021
• Invariant theory for the face algebra of the braid arrangementPatricia Commins — 2024
• Card-Shuffling via Convolutions of Projections on Combinatorial Hopf AlgebrasC. Y. Amy Pang — 2015
• Projective Modules and Cohomology for Integral Basic AlgebrasDavid J. Benson, Kay Jin Lim — 2025
• Projective Modules and Cohomology for Integral Basic AlgebrasDavid J. Benson, Kay Jin Lim — 2024
• A QUIVER PRESENTATION FOR SOLOMON'S DESCENT ALGEBRA.Otz Pfeiffer — 2007
• A NOTE ON THE UNITS OF MANTACI-REUTENAUER ALGEBRAHasan T. Arslan — 2018
• The module of affine descent classes of a Weyl groupM. Aguiar, T. K. Petersen — 2013
• ALGEBRAIC COMBINATORICSPatricia Klein

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