Alcoves Corresponding to an Affine Weyl Group
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Publication:4729973
DOI10.1112/jlms/s2-35.1.42zbMath0681.20032OpenAlexW1998828128MaRDI QIDQ4729973
Publication date: 1987
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-35.1.42
Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Other geometric groups, including crystallographic groups (20H15) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (30)
Left cells in affine Weyl groups ⋮ Affine twisted length function ⋮ Symmetries on the lattice of \(k\)-bounded partitions ⋮ Some translations in the second lowest two-sided cell of an affine Weyl group ⋮ Patterns in Shi tableaux and Dyck paths ⋮ Cell decomposition in the affine weyl group wA([Btilde4)] ⋮ Left cells in the affine Weyl group of type \(\widetilde F_4\) ⋮ Facets of the generalized cluster complex and regions in the extended Catalan arrangement of type \(A\) ⋮ A symmetric group action on the irreducible components of the Shi variety associated to \(W({\widetilde{a}}_n)\) ⋮ A description of the minimal elements of Shi regions in classical Weyl groups ⋮ Left cells in weyl group of type E6 ⋮ The second lowest two-sided cell in the affine Weyl group \(\widetilde{B}_n\) ⋮ On Fourier restriction type problems on compact Lie groups ⋮ Invariant almost Hermitian structures on flag manifolds. ⋮ The decomposition into cells of the affine weyl group of type [Btilde3] ⋮ Counting Shi regions with a fixed separating wall ⋮ Left Cells witha-Value 4 in the Affine Weyl Groups (i = 6, 7, 8) ⋮ The second lowest two-sided cell in an affine Weyl group. ⋮ On floors and ceilings of the \(k\)-Catalan arrangement ⋮ Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs ⋮ A bijection between dominant Shi regions and core partitions ⋮ On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements. ⋮ Bijections between generalized Catalan families of types \(A\) and \(C\) ⋮ From Anderson to zeta ⋮ Left cells in the affine Weyl group of type \(\widetilde C_4\) ⋮ On two presentations of the affine Weyl groups of classical types ⋮ Cone types, automata, and regular partitions in Coxeter groups ⋮ Left cells in the weyl group of type7 ⋮ Left cells in the Weyl group of type \(E_8\) ⋮ Cells in the affine Weyl group of type \(\tilde D_ 4\)
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