On the “Bruhat graph” of a Coxeter system
Matthew Dyer (1991)
Compositio Mathematica
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Displaying similar documents to “Möbius inversion for the Bruhat ordering on a Weyl group”
On the “Bruhat graph” of a Coxeter system
Computing Kazhdan-Lusztig polynomials for arbitrary Coxeter groups.
du Cloux, Fokko (2002)
Experimental Mathematics
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Prescribed Gauss decompositions for Kac-Moody groups over fields
Jun Morita, Eugene Plotkin (2001)
Rendiconti del Seminario Matematico della Università di Padova
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A character approach to Looijenga's invariant theory for generalized root systems
Peter Slodowy (1985)
Compositio Mathematica
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Hecke algebras and shellings of Bruhat intervals
M. J. Dyer (1993)
Compositio Mathematica
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Weyl Groups of Fine Gradings on Simple Lie Algebras of Types A, B, C and D
Elduque, Alberto, Kochetov, Mikhail (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17B70, secondary 17B40, 16W50. Given a grading Γ : L ⨁ = g ∈ G L g on a nonassociative algebra L by an abelian group G, we have two subgroups of Aut(L): the automorphisms that stabilize each component L g (as a subspace) and the automorphisms that permute the components. By the Weyl group of Γ we mean the quotient of the latter subgroup by the former. In the case of a Cartan decomposition of a semisimple complex Lie algebra,...
The Weyl group as fixed point set of smooth involutions.
De Mari, Filippo (1996)
Journal of Lie Theory
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Length of involutions and classification of finite Coxeter groups. (Longueur des involutions et classification des groupes de Coxeter finis.)
Moszkowski, Paul (1994)
Séminaire Lotharingien de Combinatoire [electronic only]
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Finite-dimensional Lie subalgebras of algebras with continuous inversion
Daniel Beltiţă, Karl-Hermann Neeb (2008)
Studia Mathematica
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We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion...
Berezin-Weyl quantization for Cartan motion groups
Benjamin Cahen (2011)
Commentationes Mathematicae Universitatis Carolinae
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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].