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.
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Showing 1 to 11 of 11 for “"Weyl groups"”.
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Affine quantum algebras, Weyl groups and constructible functions
… study a realization of the group algebra of the Weyl group in a convolution algebra of constructible functions on the Steinberg variety, and examine how this may be used to see Springer representations.
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Extended affine lie algebras and extended affine weyl groups
… 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 of the twisted …
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Kazhdan-Lusztig polynomials and cells for affine Weyl groups and unequal parameters
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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Ad-nilpotent ideals of complex and real reductive groups
… and its relations with nilpotent orbits, affine Weyl groups, sign types and hyperplane arrangements. This thesis is divided into three parts. The first and second parts deal with ad-nilpotent ideals for complex reductive Lie groups. In the first part, we study the left equivalence relation of …
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On Projective Characters of Rotation Sub- Group
… in a £-dimensional real Euclidean space V with Weyl group W( £), and let W+{<f) denote its rotation subgroup. In [173 » the projective representations of the rotation subgroup W ( 9) have been determined from those of W( $) for each root system $. This is done by constructing non-trivial central …
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On Projective Characters of Rotation Sub- Group
… in a £-dimensional real Euclidean space V with Weyl group W( £), and let W+{<f) denote its rotation subgroup. In [173 » the projective representations of the rotation subgroup W ( 9) have been determined from those of W( $) for each root system $. This is done by constructing non-trivial central …
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New combinatorics of the weak and strong Bruhat orders
… polynomials, separable elements in finite Weyl groups, and inequalities for linear extensions of finite posets.
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Unitary Irreducible Highest Weight Modules of su(2,1) of Highest Weight λ - ρ Where λ is Integral Regular
… fabula scaenica are “weight spaces”, “Weyl groups” and “affine Weyl groups”, their masquerading nature had been unveiled through elucidation. Whenever new notations had risen, the meaning associated with it had been expounded on. For now, we let the sea advance in silence.
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Soergel Diagrammatics for Dihedral Groups
We give a diagrammatic presentation for the category of Soergel bimodules for the dihedral group W, finite or infinite. The (two-colored) Temperley-Lieb category is embedded inside this category as the degree 0 morphisms between color-alternating objects. The indecomposable Soergel bimodules are …
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Quantum optical states and Bose-Einstein condensation : a dynamical group approach
… product of the 8U(1,1) and Heisenberg-Weyl groups.We then construct a generalized version of the BEC ground states and weakly excited states. It is shown that our states for BEC provide better fits to the experimental results. Then we investigate the tunnelling between the excitations …