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Bruhat Order and Transfer for Complex Reductive Groups
Canadian Journal of Mathematics, 1992AbstractLet G be a complex reductive group, and G^ its set of irreducible admissible representations. The Bruhat order on G^ is defined in a natural way. We prove that this Bruhat order is preserved by transfer. This gives new proofs of some results by the author on L-functions.
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Order Dimension, Strong Bruhat Order and Lattice Properties for Posets
Order, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Automorphisms of the Bruhat order on Coxeter Groups
Bulletin of the London Mathematical Society, 1989The author provides a very clean argument which establishes (Theorem 1) that if \(\phi\) is an automorphism of the Bruhat order of a Coxeter group then \(\phi\) has a ``standard'' decomposition \(\phi =\phi_ 3\cdot \phi_ 2\cdot \phi_ 1\) where \(\phi_ 1\) is a diagram automorphism; \(\phi_ 2\) maps components to themselves either as an identity map or ...
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Extremal matrices for the Bruhat-graph order
Linear and Multilinear Algebra, 2021Rosário Fernandes, Susana Furtado
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On the Bruhat order of labeled graphs
Discrete Applied Mathematics, 2019Rosário Fernandes, Susana Furtado
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Alternating sign matrices and their Bruhat order
Discrete Mathematics, 2017Michael W Schroeder
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On the Largest Size of an Antichain in the Bruhat Order for
Order, 2011Alessandro Conflitti +2 more
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