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Autor:
John M. Dusel
Publikováno v:
Algebras and Representation Theory. 23:1885-1926
We introduce a procedure to fold the structure of a crystal B of simply-laced Cartan type ${\mathscr{C}}$ by the action of an automorphism σ. This produces a crystal Bσ for the folded Langlands dual datum ${\mathscr{C}}^{\sigma \vee }$ which proper
Publikováno v:
Proceedings. Mathematical, physical, and engineering sciences. 477(2250)
As the complexity and heterogeneity of a system grows, the challenge of specifying, documenting and synthesizing correct, machine-readable designs increases dramatically. Separation of the system into manageable parts is needed to support analysis at
Autor:
John M. Dusel
Publikováno v:
Journal of Algebraic Combinatorics. 44:363-391
We study a subset of a parabolic quotient in a simply laced Weyl group W--stable under an automorphism $$\sigma $$ź--which we call the balanced parabolic quotient. This subset describes the interaction between the branching rule for a Levi subalgebr