Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 6 of 6 for “"affine Weyl group"”.
-
A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group
For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and …
-
The Combinatorial Curve Neighborhoods of Affine Flag Manifold in Type A<sub>n-1</sub><sup>(1)</sup>
Let X be the affine flag manifold of Lie type A<sub>n-1</sub><sup>(1)</sup> where n ≥ 3 and let W<sub>aff</sub> be the associated affine Weyl group. The moment graph for X encodes the torus fixed points (which are elements of the affine Weyl group W<sub>aff</sub> and the torus stable curves in X. …
-
On the signature of the Shapovalov form
… unitary representations of a real reductive group is equivalent to the algebraic problem of classifying the Harish-Chandra modules admitting a positive definite invariant Hermitian form. Finding a formula for the signature of the Shapovalov form is a related problem which may be a necessary …
-
Double Affine Bruhat Order
Given a finite Weyl group W_fin with root system Phi_fin, one can create the affine Weyl group W_aff by taking the semidirect product of the translation group associated to the coroot lattice for Phi_fin, with W_fin. The double affine Weyl semigroup W can be created by using a similar semidirect …
-
Multiplicative Global Springer Theory
… global settings, Springer fibers are replaced by affine Springer fibers and Hitchin fibers respectively, which parametrize Higgs bundles over a formal disc or over an algebraic curve. In 2011, Z. Yun globalized Springer theory by constructing an action of the extended affine Weyl group on the …
-
Extended affine lie algebras and extended affine weyl groups
This thesis is about extended affine Lie algebras and extended affine Weyl groups. In Chapter I, we provide the basic knowledge necessary for the study of extended affine Lie algebras and related objects. In Chapter II, we show that the well-known twisting phenomena which appears in the realization …